Factor 2x^3-2x

$2 x^{3} - 2 x$

Factor $2 x$ out of $2 x^{3} - 2 x$ .

Factor $2 x$ out of $2 x^{3}$ .

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

Factor $2 x$ out of $- 2 x$ .

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

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

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

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

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

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 $b = 1$ .

$2 x ((x + 1) (x - 1))$

Remove unnecessary parentheses.

$2 x (x + 1) (x - 1)$