Precalculus Examples

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

Step 1

Regroup terms.

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

Step 2

Factor $5 \sin (x)$ out of $25 \sin (x) \cos (x) - 5 \sin (x)$ .

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Step 2.1

Factor $5 \sin (x)$ out of $25 \sin (x) \cos (x)$ .

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

Step 2.2

Factor $5 \sin (x)$ out of $- 5 \sin (x)$ .

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

Step 2.3

Factor $5 \sin (x)$ out of $5 \sin (x) (5 \cos (x)) + 5 \sin (x) (- 1)$ .

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

Step 3

Factor $4$ out of $20 \cos (x) - 4$ .

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Step 3.1

Factor $4$ out of $20 \cos (x)$ .

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

Step 3.2

Factor $4$ out of $- 4$ .

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

Step 3.3

Factor $4$ out of $4 (5 \cos (x)) + 4 (- 1)$ .

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

Step 4

Factor $5 \cos (x) - 1$ out of $5 \sin (x) (5 \cos (x) - 1) + 4 (5 \cos (x) - 1)$ .

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Step 4.1

Factor $5 \cos (x) - 1$ out of $5 \sin (x) (5 \cos (x) - 1)$ .

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

Step 4.2

Factor $5 \cos (x) - 1$ out of $4 (5 \cos (x) - 1)$ .

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

Step 4.3

Factor $5 \cos (x) - 1$ out of $(5 \cos (x) - 1) (5 \sin (x)) + (5 \cos (x) - 1) \cdot 4$ .

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