Factor 1-4x^2

$1 - 4 x^{2}$

Step 1

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

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

Step 2

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

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

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 $b = 2 x$ .

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

Step 4

Multiply $2$ by $- 1$ .

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