Factor 1-16x^2

$1 - 16 x^{2}$

Step 1

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

$1^{2} - 16 x^{2}$

Step 2

Rewrite $16 x^{2}$ as ${(4 x)}^{2}$ .

$1^{2} - {(4 x)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = 4 x$ .

$(1 + 4 x) (1 - (4 x))$

Step 4

Multiply $4$ by $- 1$ .

$(1 + 4 x) (1 - 4 x)$