Álgebra Ejemplos

$20 a w^{2} + 8 a z - 10 b w^{2} - 4 b z + 5 c w^{2} + 2 c z$

Paso 1

Reagrupa los términos.

$20 a w^{2} - 10 b w^{2} + 5 c w^{2} + 8 a z - 4 b z + 2 c z$

Paso 2

Factoriza $5 w^{2}$ de $20 a w^{2} - 10 b w^{2} + 5 c w^{2}$ .

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Paso 2.1

Factoriza $5 w^{2}$ de $20 a w^{2}$ .

$5 w^{2} (4 a) - 10 b w^{2} + 5 c w^{2} + 8 a z - 4 b z + 2 c z$

Paso 2.2

Factoriza $5 w^{2}$ de $- 10 b w^{2}$ .

$5 w^{2} (4 a) + 5 w^{2} (- 2 b) + 5 c w^{2} + 8 a z - 4 b z + 2 c z$

Paso 2.3

Factoriza $5 w^{2}$ de $5 c w^{2}$ .

$5 w^{2} (4 a) + 5 w^{2} (- 2 b) + 5 w^{2} (c) + 8 a z - 4 b z + 2 c z$

Paso 2.4

Factoriza $5 w^{2}$ de $5 w^{2} (4 a) + 5 w^{2} (- 2 b)$ .

$5 w^{2} (4 a - 2 b) + 5 w^{2} (c) + 8 a z - 4 b z + 2 c z$

Paso 2.5

Factoriza $5 w^{2}$ de $5 w^{2} (4 a - 2 b) + 5 w^{2} (c)$ .

$5 w^{2} (4 a - 2 b + c) + 8 a z - 4 b z + 2 c z$

Paso 3

Factoriza $2 z$ de $8 a z - 4 b z + 2 c z$ .

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Paso 3.1

Factoriza $2 z$ de $8 a z$ .

$5 w^{2} (4 a - 2 b + c) + 2 z (4 a) - 4 b z + 2 c z$

Paso 3.2

Factoriza $2 z$ de $- 4 b z$ .

$5 w^{2} (4 a - 2 b + c) + 2 z (4 a) + 2 z (- 2 b) + 2 c z$

Paso 3.3

Factoriza $2 z$ de $2 c z$ .

$5 w^{2} (4 a - 2 b + c) + 2 z (4 a) + 2 z (- 2 b) + 2 z (c)$

Paso 3.4

Factoriza $2 z$ de $2 z (4 a) + 2 z (- 2 b)$ .

$5 w^{2} (4 a - 2 b + c) + 2 z (4 a - 2 b) + 2 z (c)$

Paso 3.5

Factoriza $2 z$ de $2 z (4 a - 2 b) + 2 z (c)$ .

$5 w^{2} (4 a - 2 b + c) + 2 z (4 a - 2 b + c)$

Paso 4

Factoriza $4 a - 2 b + c$ de $5 w^{2} (4 a - 2 b + c) + 2 z (4 a - 2 b + c)$ .

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Paso 4.1

Factoriza $4 a - 2 b + c$ de $5 w^{2} (4 a - 2 b + c)$ .

$(4 a - 2 b + c) (5 w^{2}) + 2 z (4 a - 2 b + c)$

Paso 4.2

Factoriza $4 a - 2 b + c$ de $2 z (4 a - 2 b + c)$ .

$(4 a - 2 b + c) (5 w^{2}) + (4 a - 2 b + c) (2 z)$

Paso 4.3

Factoriza $4 a - 2 b + c$ de $(4 a - 2 b + c) (5 w^{2}) + (4 a - 2 b + c) (2 z)$ .

$(4 a - 2 b + c) (5 w^{2} + 2 z)$