Factor x^4-64x^2

$x^{4} - 64 x^{2}$

Step 1

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

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

$x^{2} x^{2} - 64 x^{2}$

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

$x^{2} x^{2} + x^{2} \cdot - 64$

Factor $x^{2}$ out of $x^{2} x^{2} + x^{2} \cdot - 64$ .

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

Step 2

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

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

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 $b = 8$ .

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

Remove unnecessary parentheses.

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