Factor 1-49x^2

$1 - 49 x^{2}$

Step 1

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

$1^{2} - 49 x^{2}$

Step 2

Rewrite $49 x^{2}$ as ${(7 x)}^{2}$ .

$1^{2} - {(7 x)}^{2}$

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 $b = 7 x$ .

$(1 + 7 x) (1 - (7 x))$

Step 4

Multiply $7$ by $- 1$ .

$(1 + 7 x) (1 - 7 x)$