Factor (4x^2-16)

$(4 x^{2} - 16)$

Remove parentheses.

$4 x^{2} - 16$

Factor $4$ out of $4 x^{2} - 16$ .

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

$4 (x^{2}) - 16$

Factor $4$ out of $- 16$ .

$4 x^{2} + 4 \cdot - 4$

Factor $4$ out of $4 x^{2} + 4 \cdot - 4$ .

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

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

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

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 $b = 2$ .

$4 ((x + 2) (x - 2))$

Remove unnecessary parentheses.

$4 (x + 2) (x - 2)$