Factor x(x^2-4)

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

Step 1

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

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

Step 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 $b = 2$ .

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

Remove unnecessary parentheses.

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