Trigonometry Examples

$64 - 36 x^{2}$

Step 1

Factor $4$ out of $64 - 36 x^{2}$ .

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Step 1.1

Factor $4$ out of $64$ .

$4 (16) - 36 x^{2}$

Step 1.2

Factor $4$ out of $- 36 x^{2}$ .

$4 (16) + 4 (- 9 x^{2})$

Step 1.3

Factor $4$ out of $4 (16) + 4 (- 9 x^{2})$ .

$4 (16 - 9 x^{2})$

Step 2

Rewrite $16$ as $4^{2}$ .

$4 (4^{2} - 9 x^{2})$

Step 3

Rewrite $9 x^{2}$ as ${(3 x)}^{2}$ .

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

Step 4

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4$ and $b = 3 x$ .

$4 ((4 + 3 x) (4 - (3 x)))$

Step 5

Factor.

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Step 5.1

Multiply $3$ by $- 1$ .

$4 ((4 + 3 x) (4 - 3 x))$

Step 5.2

Remove unnecessary parentheses.

$4 (4 + 3 x) (4 - 3 x)$