Factor 640-10x^2

$640 - 10 x^{2}$

Step 1

Factor $10$ out of $640 - 10 x^{2}$ .

Factor $10$ out of $640$ .

$10 (64) - 10 x^{2}$

Factor $10$ out of $- 10 x^{2}$ .

$10 (64) + 10 (- x^{2})$

Factor $10$ out of $10 (64) + 10 (- x^{2})$ .

$10 (64 - x^{2})$

Step 2

Rewrite $64$ as $8^{2}$ .

$10 (8^{2} - x^{2})$

Step 3

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 8$ and $b = x$ .

$10 ((8 + x) (8 - x))$

Remove unnecessary parentheses.

$10 (8 + x) (8 - x)$