Cálculo Ejemplos

$5 {(x^{2} + 3)}^{4} (2 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1

Simplifica cada término.

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Paso 1.1

Reescribe con la propiedad conmutativa de la multiplicación.

$5 \cdot 2 {(x^{2} + 3)}^{4} x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.2

Multiplica $5$ por $2$ .

$10 {(x^{2} + 3)}^{4} x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.3

Usa el teorema del binomio.

$10 ({(x^{2})}^{4} + 4 {(x^{2})}^{3} \cdot 3 + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4

Simplifica cada término.

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Paso 1.4.1

Multiplica los exponentes en ${(x^{2})}^{4}$ .

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Paso 1.4.1.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 (x^{2 \cdot 4} + 4 {(x^{2})}^{3} \cdot 3 + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.1.2

Multiplica $2$ por $4$ .

$10 (x^{8} + 4 {(x^{2})}^{3} \cdot 3 + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.2

Multiplica los exponentes en ${(x^{2})}^{3}$ .

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Paso 1.4.2.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 (x^{8} + 4 x^{2 \cdot 3} \cdot 3 + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.2.2

Multiplica $2$ por $3$ .

$10 (x^{8} + 4 x^{6} \cdot 3 + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.3

Multiplica $3$ por $4$ .

$10 (x^{8} + 12 x^{6} + 6 {(x^{2})}^{2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.4

Multiplica los exponentes en ${(x^{2})}^{2}$ .

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Paso 1.4.4.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 (x^{8} + 12 x^{6} + 6 x^{2 \cdot 2} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.4.2

Multiplica $2$ por $2$ .

$10 (x^{8} + 12 x^{6} + 6 x^{4} \cdot 3^{2} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.5

Eleva $3$ a la potencia de $2$ .

$10 (x^{8} + 12 x^{6} + 6 x^{4} \cdot 9 + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.6

Multiplica $9$ por $6$ .

$10 (x^{8} + 12 x^{6} + 54 x^{4} + 4 x^{2} \cdot 3^{3} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.7

Eleva $3$ a la potencia de $3$ .

$10 (x^{8} + 12 x^{6} + 54 x^{4} + 4 x^{2} \cdot 27 + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.8

Multiplica $27$ por $4$ .

$10 (x^{8} + 12 x^{6} + 54 x^{4} + 108 x^{2} + 3^{4}) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.4.9

Eleva $3$ a la potencia de $4$ .

$10 (x^{8} + 12 x^{6} + 54 x^{4} + 108 x^{2} + 81) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.5

Aplica la propiedad distributiva.

$(10 x^{8} + 10 (12 x^{6}) + 10 (54 x^{4}) + 10 (108 x^{2}) + 10 \cdot 81) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.6

Simplifica.

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Paso 1.6.1

Multiplica $12$ por $10$ .

$(10 x^{8} + 120 x^{6} + 10 (54 x^{4}) + 10 (108 x^{2}) + 10 \cdot 81) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.6.2

Multiplica $54$ por $10$ .

$(10 x^{8} + 120 x^{6} + 540 x^{4} + 10 (108 x^{2}) + 10 \cdot 81) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.6.3

Multiplica $108$ por $10$ .

$(10 x^{8} + 120 x^{6} + 540 x^{4} + 1080 x^{2} + 10 \cdot 81) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.6.4

Multiplica $10$ por $81$ .

$(10 x^{8} + 120 x^{6} + 540 x^{4} + 1080 x^{2} + 810) x {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.7

Aplica la propiedad distributiva.

$(10 x^{8} x + 120 x^{6} x + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8

Simplifica.

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Paso 1.8.1

Multiplica $x^{8}$ por $x$ sumando los exponentes.

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Paso 1.8.1.1

Mueve $x$ .

$(10 (x \cdot x^{8}) + 120 x^{6} x + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.1.2

Multiplica $x$ por $x^{8}$ .

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Paso 1.8.1.2.1

Eleva $x$ a la potencia de $1$ .

$(10 (x^{1} x^{8}) + 120 x^{6} x + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.1.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$(10 x^{1 + 8} + 120 x^{6} x + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.1.3

Suma $1$ y $8$ .

$(10 x^{9} + 120 x^{6} x + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.2

Multiplica $x^{6}$ por $x$ sumando los exponentes.

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Paso 1.8.2.1

Mueve $x$ .

$(10 x^{9} + 120 (x \cdot x^{6}) + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.2.2

Multiplica $x$ por $x^{6}$ .

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Paso 1.8.2.2.1

Eleva $x$ a la potencia de $1$ .

$(10 x^{9} + 120 (x^{1} x^{6}) + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.2.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$(10 x^{9} + 120 x^{1 + 6} + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.2.3

Suma $1$ y $6$ .

$(10 x^{9} + 120 x^{7} + 540 x^{4} x + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.3

Multiplica $x^{4}$ por $x$ sumando los exponentes.

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Paso 1.8.3.1

Mueve $x$ .

$(10 x^{9} + 120 x^{7} + 540 (x \cdot x^{4}) + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.3.2

Multiplica $x$ por $x^{4}$ .

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Paso 1.8.3.2.1

Eleva $x$ a la potencia de $1$ .

$(10 x^{9} + 120 x^{7} + 540 (x^{1} x^{4}) + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.3.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$(10 x^{9} + 120 x^{7} + 540 x^{1 + 4} + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.3.3

Suma $1$ y $4$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{2} x + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.4

Multiplica $x^{2}$ por $x$ sumando los exponentes.

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Paso 1.8.4.1

Mueve $x$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 (x \cdot x^{2}) + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.4.2

Multiplica $x$ por $x^{2}$ .

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Paso 1.8.4.2.1

Eleva $x$ a la potencia de $1$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 (x^{1} x^{2}) + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.4.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{1 + 2} + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.8.4.3

Suma $1$ y $2$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.9

Usa el teorema del binomio.

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} + 4 x^{3} \cdot - 2 + 6 x^{2} {(- 2)}^{2} + 4 x {(- 2)}^{3} + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10

Simplifica cada término.

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Paso 1.10.1

Multiplica $- 2$ por $4$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 6 x^{2} {(- 2)}^{2} + 4 x {(- 2)}^{3} + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10.2

Eleva $- 2$ a la potencia de $2$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 6 x^{2} \cdot 4 + 4 x {(- 2)}^{3} + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10.3

Multiplica $4$ por $6$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 24 x^{2} + 4 x {(- 2)}^{3} + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10.4

Eleva $- 2$ a la potencia de $3$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 24 x^{2} + 4 x \cdot - 8 + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10.5

Multiplica $- 8$ por $4$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + {(- 2)}^{4}) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.10.6

Eleva $- 2$ a la potencia de $4$ .

$(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16) + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.11

Expande $(10 x^{9} + 120 x^{7} + 540 x^{5} + 1080 x^{3} + 810 x) (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16)$ mediante la multiplicación de cada término de la primera expresión por cada término de la segunda expresión.

$10 x^{9} x^{4} + 10 x^{9} (- 8 x^{3}) + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12

Simplifica cada término.

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Paso 1.12.1

Multiplica $x^{9}$ por $x^{4}$ sumando los exponentes.

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Paso 1.12.1.1

Mueve $x^{4}$ .

$10 (x^{4} x^{9}) + 10 x^{9} (- 8 x^{3}) + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.1.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{4 + 9} + 10 x^{9} (- 8 x^{3}) + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.1.3

Suma $4$ y $9$ .

$10 x^{13} + 10 x^{9} (- 8 x^{3}) + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.2

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} + 10 \cdot - 8 x^{9} x^{3} + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.3

Multiplica $x^{9}$ por $x^{3}$ sumando los exponentes.

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Paso 1.12.3.1

Mueve $x^{3}$ .

$10 x^{13} + 10 \cdot - 8 (x^{3} x^{9}) + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.3.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} + 10 \cdot - 8 x^{3 + 9} + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.3.3

Suma $3$ y $9$ .

$10 x^{13} + 10 \cdot - 8 x^{12} + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.4

Multiplica $10$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 10 x^{9} (24 x^{2}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.5

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 10 \cdot 24 x^{9} x^{2} + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.6

Multiplica $x^{9}$ por $x^{2}$ sumando los exponentes.

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Paso 1.12.6.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 10 \cdot 24 (x^{2} x^{9}) + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.6.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 10 \cdot 24 x^{2 + 9} + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.6.3

Suma $2$ y $9$ .

$10 x^{13} - 80 x^{12} + 10 \cdot 24 x^{11} + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.7

Multiplica $10$ por $24$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 x^{9} (- 32 x) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.8

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 \cdot - 32 x^{9} x + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.9

Multiplica $x^{9}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.9.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 \cdot - 32 (x \cdot x^{9}) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.9.2

Multiplica $x$ por $x^{9}$ .

Toca para ver más pasos...

Paso 1.12.9.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 \cdot - 32 (x^{1} x^{9}) + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.9.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 \cdot - 32 x^{1 + 9} + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.9.3

Suma $1$ y $9$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} + 10 \cdot - 32 x^{10} + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.10

Multiplica $10$ por $- 32$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 10 x^{9} \cdot 16 + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.11

Multiplica $16$ por $10$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{7} x^{4} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.12

Multiplica $x^{7}$ por $x^{4}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.12.1

Mueve $x^{4}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 (x^{4} x^{7}) + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.12.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{4 + 7} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.12.3

Suma $4$ y $7$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} + 120 x^{7} (- 8 x^{3}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.13

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} + 120 \cdot - 8 x^{7} x^{3} + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.14

Multiplica $x^{7}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.14.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} + 120 \cdot - 8 (x^{3} x^{7}) + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.14.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} + 120 \cdot - 8 x^{3 + 7} + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.14.3

Suma $3$ y $7$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} + 120 \cdot - 8 x^{10} + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.15

Multiplica $120$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 120 x^{7} (24 x^{2}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.16

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 120 \cdot 24 x^{7} x^{2} + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.17

Multiplica $x^{7}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.17.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 120 \cdot 24 (x^{2} x^{7}) + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.17.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 120 \cdot 24 x^{2 + 7} + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.17.3

Suma $2$ y $7$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 120 \cdot 24 x^{9} + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.18

Multiplica $120$ por $24$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 x^{7} (- 32 x) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.19

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 \cdot - 32 x^{7} x + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.20

Multiplica $x^{7}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.20.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 \cdot - 32 (x \cdot x^{7}) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.20.2

Multiplica $x$ por $x^{7}$ .

Toca para ver más pasos...

Paso 1.12.20.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 \cdot - 32 (x^{1} x^{7}) + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.20.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 \cdot - 32 x^{1 + 7} + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.20.3

Suma $1$ y $7$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} + 120 \cdot - 32 x^{8} + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.21

Multiplica $120$ por $- 32$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 120 x^{7} \cdot 16 + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.22

Multiplica $16$ por $120$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{5} x^{4} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.23

Multiplica $x^{5}$ por $x^{4}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.23.1

Mueve $x^{4}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 (x^{4} x^{5}) + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.23.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{4 + 5} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.23.3

Suma $4$ y $5$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} + 540 x^{5} (- 8 x^{3}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.24

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} + 540 \cdot - 8 x^{5} x^{3} + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.25

Multiplica $x^{5}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.25.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} + 540 \cdot - 8 (x^{3} x^{5}) + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.25.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} + 540 \cdot - 8 x^{3 + 5} + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.25.3

Suma $3$ y $5$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} + 540 \cdot - 8 x^{8} + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.26

Multiplica $540$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 540 x^{5} (24 x^{2}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.27

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 540 \cdot 24 x^{5} x^{2} + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.28

Multiplica $x^{5}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.28.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 540 \cdot 24 (x^{2} x^{5}) + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.28.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 540 \cdot 24 x^{2 + 5} + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.28.3

Suma $2$ y $5$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 540 \cdot 24 x^{7} + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.29

Multiplica $540$ por $24$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 x^{5} (- 32 x) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.30

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 \cdot - 32 x^{5} x + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.31

Multiplica $x^{5}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.31.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 \cdot - 32 (x \cdot x^{5}) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.31.2

Multiplica $x$ por $x^{5}$ .

Toca para ver más pasos...

Paso 1.12.31.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 \cdot - 32 (x^{1} x^{5}) + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.31.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 \cdot - 32 x^{1 + 5} + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.31.3

Suma $1$ y $5$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} + 540 \cdot - 32 x^{6} + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.32

Multiplica $540$ por $- 32$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 540 x^{5} \cdot 16 + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.33

Multiplica $16$ por $540$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{3} x^{4} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.34

Multiplica $x^{3}$ por $x^{4}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.34.1

Mueve $x^{4}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 (x^{4} x^{3}) + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.34.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{4 + 3} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.34.3

Suma $4$ y $3$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} + 1080 x^{3} (- 8 x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.35

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} + 1080 \cdot - 8 x^{3} x^{3} + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.36

Multiplica $x^{3}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.36.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} + 1080 \cdot - 8 (x^{3} x^{3}) + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.36.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} + 1080 \cdot - 8 x^{3 + 3} + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.36.3

Suma $3$ y $3$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} + 1080 \cdot - 8 x^{6} + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.37

Multiplica $1080$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 1080 x^{3} (24 x^{2}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.38

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 1080 \cdot 24 x^{3} x^{2} + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.39

Multiplica $x^{3}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.39.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 1080 \cdot 24 (x^{2} x^{3}) + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.39.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 1080 \cdot 24 x^{2 + 3} + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.39.3

Suma $2$ y $3$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 1080 \cdot 24 x^{5} + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.40

Multiplica $1080$ por $24$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 x^{3} (- 32 x) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.41

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 \cdot - 32 x^{3} x + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.42

Multiplica $x^{3}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.42.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 \cdot - 32 (x \cdot x^{3}) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.42.2

Multiplica $x$ por $x^{3}$ .

Toca para ver más pasos...

Paso 1.12.42.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 \cdot - 32 (x^{1} x^{3}) + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.42.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 \cdot - 32 x^{1 + 3} + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.42.3

Suma $1$ y $3$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} + 1080 \cdot - 32 x^{4} + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.43

Multiplica $1080$ por $- 32$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 1080 x^{3} \cdot 16 + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.44

Multiplica $16$ por $1080$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x \cdot x^{4} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.45

Multiplica $x$ por $x^{4}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.45.1

Mueve $x^{4}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 (x^{4} x) + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.45.2

Multiplica $x^{4}$ por $x$ .

Toca para ver más pasos...

Paso 1.12.45.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 (x^{4} x^{1}) + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.45.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{4 + 1} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.45.3

Suma $4$ y $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 x (- 8 x^{3}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.46

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 \cdot - 8 x \cdot x^{3} + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.47

Multiplica $x$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.47.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 \cdot - 8 (x^{3} x) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.47.2

Multiplica $x^{3}$ por $x$ .

Toca para ver más pasos...

Paso 1.12.47.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 \cdot - 8 (x^{3} x^{1}) + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.47.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 \cdot - 8 x^{3 + 1} + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.47.3

Suma $3$ y $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} + 810 \cdot - 8 x^{4} + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.48

Multiplica $810$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 x (24 x^{2}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.49

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 \cdot 24 x \cdot x^{2} + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.50

Multiplica $x$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.50.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 \cdot 24 (x^{2} x) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.50.2

Multiplica $x^{2}$ por $x$ .

Toca para ver más pasos...

Paso 1.12.50.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 \cdot 24 (x^{2} x^{1}) + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.50.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 \cdot 24 x^{2 + 1} + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.50.3

Suma $2$ y $1$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 810 \cdot 24 x^{3} + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.51

Multiplica $810$ por $24$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} + 810 x (- 32 x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.52

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} + 810 \cdot - 32 x \cdot x + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.53

Multiplica $x$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.12.53.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} + 810 \cdot - 32 (x \cdot x) + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.53.2

Multiplica $x$ por $x$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} + 810 \cdot - 32 x^{2} + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.54

Multiplica $810$ por $- 32$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 810 x \cdot 16 + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.12.55

Multiplica $16$ por $810$ .

$10 x^{13} - 80 x^{12} + 240 x^{11} - 320 x^{10} + 160 x^{9} + 120 x^{11} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.13

Suma $240 x^{11}$ y $120 x^{11}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 320 x^{10} + 160 x^{9} - 960 x^{10} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.14

Resta $960 x^{10}$ de $- 320 x^{10}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 160 x^{9} + 2880 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.15

Suma $160 x^{9}$ y $2880 x^{9}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3040 x^{9} - 3840 x^{8} + 1920 x^{7} + 540 x^{9} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.16

Suma $3040 x^{9}$ y $540 x^{9}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 3840 x^{8} + 1920 x^{7} - 4320 x^{8} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.17

Resta $4320 x^{8}$ de $- 3840 x^{8}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 1920 x^{7} + 12960 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.18

Suma $1920 x^{7}$ y $12960 x^{7}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 14880 x^{7} - 17280 x^{6} + 8640 x^{5} + 1080 x^{7} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.19

Suma $14880 x^{7}$ y $1080 x^{7}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 17280 x^{6} + 8640 x^{5} - 8640 x^{6} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.20

Resta $8640 x^{6}$ de $- 17280 x^{6}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 8640 x^{5} + 25920 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.21

Suma $8640 x^{5}$ y $25920 x^{5}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 34560 x^{5} - 34560 x^{4} + 17280 x^{3} + 810 x^{5} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.22

Suma $34560 x^{5}$ y $810 x^{5}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 34560 x^{4} + 17280 x^{3} - 6480 x^{4} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.23

Resta $6480 x^{4}$ de $- 34560 x^{4}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 17280 x^{3} + 19440 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.24

Suma $17280 x^{3}$ y $19440 x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$

Paso 1.25

Usa el teorema del binomio.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + ({(x^{2})}^{5} + 5 {(x^{2})}^{4} \cdot 3 + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26

Simplifica cada término.

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Paso 1.26.1

Multiplica los exponentes en ${(x^{2})}^{5}$ .

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Paso 1.26.1.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{2 \cdot 5} + 5 {(x^{2})}^{4} \cdot 3 + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.1.2

Multiplica $2$ por $5$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 5 {(x^{2})}^{4} \cdot 3 + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.2

Multiplica los exponentes en ${(x^{2})}^{4}$ .

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Paso 1.26.2.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 5 x^{2 \cdot 4} \cdot 3 + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.2.2

Multiplica $2$ por $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 5 x^{8} \cdot 3 + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.3

Multiplica $3$ por $5$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 10 {(x^{2})}^{3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.4

Multiplica los exponentes en ${(x^{2})}^{3}$ .

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Paso 1.26.4.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 10 x^{2 \cdot 3} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.4.2

Multiplica $2$ por $3$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 10 x^{6} \cdot 3^{2} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.5

Eleva $3$ a la potencia de $2$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 10 x^{6} \cdot 9 + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.6

Multiplica $9$ por $10$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 10 {(x^{2})}^{2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.7

Multiplica los exponentes en ${(x^{2})}^{2}$ .

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Paso 1.26.7.1

Aplica la regla de la potencia y multiplica los exponentes, ${(a^{m})}^{n} = a^{m n}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 10 x^{2 \cdot 2} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.7.2

Multiplica $2$ por $2$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 10 x^{4} \cdot 3^{3} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.8

Eleva $3$ a la potencia de $3$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 10 x^{4} \cdot 27 + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.9

Multiplica $27$ por $10$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 270 x^{4} + 5 x^{2} \cdot 3^{4} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.10

Eleva $3$ a la potencia de $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 270 x^{4} + 5 x^{2} \cdot 81 + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.11

Multiplica $81$ por $5$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 270 x^{4} + 405 x^{2} + 3^{5}) \cdot 4 {(x - 2)}^{3}$

Paso 1.26.12

Eleva $3$ a la potencia de $5$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} + 15 x^{8} + 90 x^{6} + 270 x^{4} + 405 x^{2} + 243) \cdot 4 {(x - 2)}^{3}$

Paso 1.27

Aplica la propiedad distributiva.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (x^{10} \cdot 4 + 15 x^{8} \cdot 4 + 90 x^{6} \cdot 4 + 270 x^{4} \cdot 4 + 405 x^{2} \cdot 4 + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28

Simplifica.

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Paso 1.28.1

Mueve $4$ a la izquierda de $x^{10}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 15 x^{8} \cdot 4 + 90 x^{6} \cdot 4 + 270 x^{4} \cdot 4 + 405 x^{2} \cdot 4 + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28.2

Multiplica $4$ por $15$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 60 x^{8} + 90 x^{6} \cdot 4 + 270 x^{4} \cdot 4 + 405 x^{2} \cdot 4 + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28.3

Multiplica $4$ por $90$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 60 x^{8} + 360 x^{6} + 270 x^{4} \cdot 4 + 405 x^{2} \cdot 4 + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28.4

Multiplica $4$ por $270$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 60 x^{8} + 360 x^{6} + 1080 x^{4} + 405 x^{2} \cdot 4 + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28.5

Multiplica $4$ por $405$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 60 x^{8} + 360 x^{6} + 1080 x^{4} + 1620 x^{2} + 243 \cdot 4) {(x - 2)}^{3}$

Paso 1.28.6

Multiplica $243$ por $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 \cdot x^{10} + 60 x^{8} + 360 x^{6} + 1080 x^{4} + 1620 x^{2} + 972) {(x - 2)}^{3}$

Paso 1.29

Usa el teorema del binomio.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + (4 x^{10} + 60 x^{8} + 360 x^{6} + 1080 x^{4} + 1620 x^{2} + 972) (x^{3} + 3 x^{2} \cdot - 2 + 3 x {(- 2)}^{2} + {(- 2)}^{3})$

Paso 1.30

Simplifica cada término.

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Paso 1.30.1

Multiplica $- 2$ por $3$ .

Paso 1.30.2

Eleva $- 2$ a la potencia de $2$ .

Paso 1.30.3

Multiplica $4$ por $3$ .

Paso 1.30.4

Eleva $- 2$ a la potencia de $3$ .

Paso 1.31

Expande $(4 x^{10} + 60 x^{8} + 360 x^{6} + 1080 x^{4} + 1620 x^{2} + 972) (x^{3} - 6 x^{2} + 12 x - 8)$ mediante la multiplicación de cada término de la primera expresión por cada término de la segunda expresión.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{10} x^{3} + 4 x^{10} (- 6 x^{2}) + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32

Simplifica cada término.

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Paso 1.32.1

Multiplica $x^{10}$ por $x^{3}$ sumando los exponentes.

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Paso 1.32.1.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 (x^{3} x^{10}) + 4 x^{10} (- 6 x^{2}) + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.1.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{3 + 10} + 4 x^{10} (- 6 x^{2}) + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.1.3

Suma $3$ y $10$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} + 4 x^{10} (- 6 x^{2}) + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.2

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} + 4 \cdot - 6 x^{10} x^{2} + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.3

Multiplica $x^{10}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.3.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} + 4 \cdot - 6 (x^{2} x^{10}) + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.3.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} + 4 \cdot - 6 x^{2 + 10} + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.3.3

Suma $2$ y $10$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} + 4 \cdot - 6 x^{12} + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.4

Multiplica $4$ por $- 6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 x^{10} (12 x) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.5

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 \cdot 12 x^{10} x + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.6

Multiplica $x^{10}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.6.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 \cdot 12 (x \cdot x^{10}) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.6.2

Multiplica $x$ por $x^{10}$ .

Toca para ver más pasos...

Paso 1.32.6.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 \cdot 12 (x^{1} x^{10}) + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.6.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 \cdot 12 x^{1 + 10} + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.6.3

Suma $1$ y $10$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 4 \cdot 12 x^{11} + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.7

Multiplica $4$ por $12$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} + 4 x^{10} \cdot - 8 + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.8

Multiplica $- 8$ por $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{8} x^{3} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.9

Multiplica $x^{8}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.9.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 (x^{3} x^{8}) + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.9.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{3 + 8} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.9.3

Suma $3$ y $8$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} + 60 x^{8} (- 6 x^{2}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.10

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} + 60 \cdot - 6 x^{8} x^{2} + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.11

Multiplica $x^{8}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.11.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} + 60 \cdot - 6 (x^{2} x^{8}) + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.11.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} + 60 \cdot - 6 x^{2 + 8} + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.11.3

Suma $2$ y $8$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} + 60 \cdot - 6 x^{10} + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.12

Multiplica $60$ por $- 6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 x^{8} (12 x) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.13

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 \cdot 12 x^{8} x + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.14

Multiplica $x^{8}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.14.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 \cdot 12 (x \cdot x^{8}) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.14.2

Multiplica $x$ por $x^{8}$ .

Toca para ver más pasos...

Paso 1.32.14.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 \cdot 12 (x^{1} x^{8}) + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.14.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 \cdot 12 x^{1 + 8} + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.14.3

Suma $1$ y $8$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 60 \cdot 12 x^{9} + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.15

Multiplica $60$ por $12$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} + 60 x^{8} \cdot - 8 + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.16

Multiplica $- 8$ por $60$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{6} x^{3} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.17

Multiplica $x^{6}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.17.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 (x^{3} x^{6}) + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.17.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{3 + 6} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.17.3

Suma $3$ y $6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} + 360 x^{6} (- 6 x^{2}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.18

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} + 360 \cdot - 6 x^{6} x^{2} + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.19

Multiplica $x^{6}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.19.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} + 360 \cdot - 6 (x^{2} x^{6}) + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.19.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} + 360 \cdot - 6 x^{2 + 6} + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.19.3

Suma $2$ y $6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} + 360 \cdot - 6 x^{8} + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.20

Multiplica $360$ por $- 6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 x^{6} (12 x) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.21

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 \cdot 12 x^{6} x + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.22

Multiplica $x^{6}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.22.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 \cdot 12 (x \cdot x^{6}) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.22.2

Multiplica $x$ por $x^{6}$ .

Toca para ver más pasos...

Paso 1.32.22.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 \cdot 12 (x^{1} x^{6}) + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.22.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 \cdot 12 x^{1 + 6} + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.22.3

Suma $1$ y $6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 360 \cdot 12 x^{7} + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.23

Multiplica $360$ por $12$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} + 360 x^{6} \cdot - 8 + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.24

Multiplica $- 8$ por $360$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{4} x^{3} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.25

Multiplica $x^{4}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.25.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 (x^{3} x^{4}) + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.25.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{3 + 4} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.25.3

Suma $3$ y $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} + 1080 x^{4} (- 6 x^{2}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.26

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} + 1080 \cdot - 6 x^{4} x^{2} + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.27

Multiplica $x^{4}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.27.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} + 1080 \cdot - 6 (x^{2} x^{4}) + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.27.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} + 1080 \cdot - 6 x^{2 + 4} + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.27.3

Suma $2$ y $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} + 1080 \cdot - 6 x^{6} + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.28

Multiplica $1080$ por $- 6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 x^{4} (12 x) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.29

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 \cdot 12 x^{4} x + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.30

Multiplica $x^{4}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.30.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 \cdot 12 (x \cdot x^{4}) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.30.2

Multiplica $x$ por $x^{4}$ .

Toca para ver más pasos...

Paso 1.32.30.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 \cdot 12 (x^{1} x^{4}) + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.30.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 \cdot 12 x^{1 + 4} + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.30.3

Suma $1$ y $4$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 1080 \cdot 12 x^{5} + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.31

Multiplica $1080$ por $12$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} + 1080 x^{4} \cdot - 8 + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.32

Multiplica $- 8$ por $1080$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{2} x^{3} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.33

Multiplica $x^{2}$ por $x^{3}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.33.1

Mueve $x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 (x^{3} x^{2}) + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.33.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{3 + 2} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.33.3

Suma $3$ y $2$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} + 1620 x^{2} (- 6 x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.34

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} + 1620 \cdot - 6 x^{2} x^{2} + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.35

Multiplica $x^{2}$ por $x^{2}$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.35.1

Mueve $x^{2}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} + 1620 \cdot - 6 (x^{2} x^{2}) + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.35.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} + 1620 \cdot - 6 x^{2 + 2} + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.35.3

Suma $2$ y $2$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} + 1620 \cdot - 6 x^{4} + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.36

Multiplica $1620$ por $- 6$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 x^{2} (12 x) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.37

Reescribe con la propiedad conmutativa de la multiplicación.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 \cdot 12 x^{2} x + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.38

Multiplica $x^{2}$ por $x$ sumando los exponentes.

Toca para ver más pasos...

Paso 1.32.38.1

Mueve $x$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 \cdot 12 (x \cdot x^{2}) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.38.2

Multiplica $x$ por $x^{2}$ .

Toca para ver más pasos...

Paso 1.32.38.2.1

Eleva $x$ a la potencia de $1$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 \cdot 12 (x^{1} x^{2}) + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.38.2.2

Usa la regla de la potencia $a^{m} a^{n} = a^{m + n}$ para combinar exponentes.

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 \cdot 12 x^{1 + 2} + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.38.3

Suma $1$ y $2$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 1620 \cdot 12 x^{3} + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.39

Multiplica $1620$ por $12$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} + 1620 x^{2} \cdot - 8 + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.40

Multiplica $- 8$ por $1620$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} + 972 (- 6 x^{2}) + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.41

Multiplica $- 6$ por $972$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 972 (12 x) + 972 \cdot - 8$

Paso 1.32.42

Multiplica $12$ por $972$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x + 972 \cdot - 8$

Paso 1.32.43

Multiplica $972$ por $- 8$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 48 x^{11} - 32 x^{10} + 60 x^{11} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.33

Suma $48 x^{11}$ y $60 x^{11}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 32 x^{10} - 360 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.34

Resta $360 x^{10}$ de $- 32 x^{10}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 720 x^{9} - 480 x^{8} + 360 x^{9} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.35

Suma $720 x^{9}$ y $360 x^{9}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 480 x^{8} - 2160 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.36

Resta $2160 x^{8}$ de $- 480 x^{8}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 4320 x^{7} - 2880 x^{6} + 1080 x^{7} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.37

Suma $4320 x^{7}$ y $1080 x^{7}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 2880 x^{6} - 6480 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.38

Resta $6480 x^{6}$ de $- 2880 x^{6}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 12960 x^{5} - 8640 x^{4} + 1620 x^{5} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.39

Suma $12960 x^{5}$ y $1620 x^{5}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 8640 x^{4} - 9720 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.40

Resta $9720 x^{4}$ de $- 8640 x^{4}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 19440 x^{3} - 12960 x^{2} + 972 x^{3} - 5832 x^{2} + 11664 x - 7776$

Paso 1.41

Suma $19440 x^{3}$ y $972 x^{3}$ .

$10 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 4 x^{13} - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 12960 x^{2} - 5832 x^{2} + 11664 x - 7776$

Paso 1.42

Resta $5832 x^{2}$ de $- 12960 x^{2}$ .

Paso 2

Simplifica mediante la adición de términos.

Toca para ver más pasos...

Paso 2.1

Suma $10 x^{13}$ y $4 x^{13}$ .

$14 x^{13} - 80 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x - 24 x^{12} + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.2

Resta $24 x^{12}$ de $- 80 x^{12}$ .

$14 x^{13} - 104 x^{12} + 360 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 108 x^{11} - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.3

Suma $360 x^{11}$ y $108 x^{11}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1280 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x - 392 x^{10} + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.4

Resta $392 x^{10}$ de $- 1280 x^{10}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 3580 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 1080 x^{9} - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.5

Suma $3580 x^{9}$ y $1080 x^{9}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 8160 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x - 2640 x^{8} + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.6

Resta $2640 x^{8}$ de $- 8160 x^{8}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 15960 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 5400 x^{7} - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.7

Suma $15960 x^{7}$ y $5400 x^{7}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 25920 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x - 9360 x^{6} + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.8

Resta $9360 x^{6}$ de $- 25920 x^{6}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 35370 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 14580 x^{5} - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.9

Suma $35370 x^{5}$ y $14580 x^{5}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 49950 x^{5} - 41040 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x - 18360 x^{4} + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.10

Resta $18360 x^{4}$ de $- 41040 x^{4}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 49950 x^{5} - 59400 x^{4} + 36720 x^{3} - 25920 x^{2} + 12960 x + 20412 x^{3} - 18792 x^{2} + 11664 x - 7776$

Paso 2.11

Suma $36720 x^{3}$ y $20412 x^{3}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 49950 x^{5} - 59400 x^{4} + 57132 x^{3} - 25920 x^{2} + 12960 x - 18792 x^{2} + 11664 x - 7776$

Paso 2.12

Resta $18792 x^{2}$ de $- 25920 x^{2}$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 49950 x^{5} - 59400 x^{4} + 57132 x^{3} - 44712 x^{2} + 12960 x + 11664 x - 7776$

Paso 2.13

Suma $12960 x$ y $11664 x$ .

$14 x^{13} - 104 x^{12} + 468 x^{11} - 1672 x^{10} + 4660 x^{9} - 10800 x^{8} + 21360 x^{7} - 35280 x^{6} + 49950 x^{5} - 59400 x^{4} + 57132 x^{3} - 44712 x^{2} + 24624 x - 7776$