Precálculo Ejemplos

$25 \sin (x) \cos (x) - 5 \sin (x) + 20 \cos (x) - 4$

Paso 1

Reagrupa los términos.

$25 \sin (x) \cos (x) - 5 \sin (x) + 20 \cos (x) - 4$

Paso 2

Factoriza $5 \sin (x)$ de $25 \sin (x) \cos (x) - 5 \sin (x)$ .

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Paso 2.1

Factoriza $5 \sin (x)$ de $25 \sin (x) \cos (x)$ .

$5 \sin (x) (5 \cos (x)) - 5 \sin (x) + 20 \cos (x) - 4$

Paso 2.2

Factoriza $5 \sin (x)$ de $- 5 \sin (x)$ .

$5 \sin (x) (5 \cos (x)) + 5 \sin (x) (- 1) + 20 \cos (x) - 4$

Paso 2.3

Factoriza $5 \sin (x)$ de $5 \sin (x) (5 \cos (x)) + 5 \sin (x) (- 1)$ .

$5 \sin (x) (5 \cos (x) - 1) + 20 \cos (x) - 4$

Paso 3

Factoriza $4$ de $20 \cos (x) - 4$ .

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Paso 3.1

Factoriza $4$ de $20 \cos (x)$ .

$5 \sin (x) (5 \cos (x) - 1) + 4 (5 \cos (x)) - 4$

Paso 3.2

Factoriza $4$ de $- 4$ .

$5 \sin (x) (5 \cos (x) - 1) + 4 (5 \cos (x)) + 4 (- 1)$

Paso 3.3

Factoriza $4$ de $4 (5 \cos (x)) + 4 (- 1)$ .

$5 \sin (x) (5 \cos (x) - 1) + 4 (5 \cos (x) - 1)$

Paso 4

Factoriza $5 \cos (x) - 1$ de $5 \sin (x) (5 \cos (x) - 1) + 4 (5 \cos (x) - 1)$ .

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Paso 4.1

Factoriza $5 \cos (x) - 1$ de $5 \sin (x) (5 \cos (x) - 1)$ .

$(5 \cos (x) - 1) (5 \sin (x)) + 4 (5 \cos (x) - 1)$

Paso 4.2

Factoriza $5 \cos (x) - 1$ de $4 (5 \cos (x) - 1)$ .

$(5 \cos (x) - 1) (5 \sin (x)) + (5 \cos (x) - 1) \cdot 4$

Paso 4.3

Factoriza $5 \cos (x) - 1$ de $(5 \cos (x) - 1) (5 \sin (x)) + (5 \cos (x) - 1) \cdot 4$ .

$(5 \cos (x) - 1) (5 \sin (x) + 4)$