Factor 12x^2-12

$12 x^{2} - 12$

Step 1

Factor $12$ out of $12 x^{2} - 12$ .

Factor $12$ out of $12 x^{2}$ .

$12 (x^{2}) - 12$

Factor $12$ out of $- 12$ .

$12 (x^{2}) + 12 (- 1)$

Factor $12$ out of $12 (x^{2}) + 12 (- 1)$ .

$12 (x^{2} - 1)$

Step 2

Rewrite $1$ as $1^{2}$ .

$12 (x^{2} - 1^{2})$

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 $a = x$ and $b = 1$ .

$12 ((x + 1) (x - 1))$

Remove unnecessary parentheses.

$12 (x + 1) (x - 1)$