Álgebra Ejemplos

$2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$

Paso 1

Factoriza ${(5 x - 1)}^{\frac{4}{5}}$ de $2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$ .

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Paso 1.1

Factoriza ${(5 x - 1)}^{\frac{4}{5}}$ de $2 x {(5 x - 1)}^{\frac{4}{5}}$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x) + 7 {(5 x - 1)}^{\frac{9}{5}}$

Paso 1.2

Factoriza ${(5 x - 1)}^{\frac{4}{5}}$ de $7 {(5 x - 1)}^{\frac{9}{5}}$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x) + {(5 x - 1)}^{\frac{4}{5}} (7 {(5 x - 1)}^{\frac{5}{5}})$

Paso 1.3

Factoriza ${(5 x - 1)}^{\frac{4}{5}}$ de ${(5 x - 1)}^{\frac{4}{5}} (2 x) + {(5 x - 1)}^{\frac{4}{5}} (7 {(5 x - 1)}^{\frac{5}{5}})$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 {(5 x - 1)}^{\frac{5}{5}})$

Paso 2

Divide $5$ por $5$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 {(5 x - 1)}^{1})$

Paso 3

Simplifica.

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 (5 x - 1))$

Paso 4

Aplica la propiedad distributiva.

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 (5 x) + 7 \cdot - 1)$

Paso 5

Multiplica $5$ por $7$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 35 x + 7 \cdot - 1)$

Paso 6

Multiplica $7$ por $- 1$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 35 x - 7)$

Paso 7

Suma $2 x$ y $35 x$ .

${(5 x - 1)}^{\frac{4}{5}} (37 x - 7)$