Algebra Examples

$1 - 9 x^{2}$

Step 1

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

$1^{2} - 9 x^{2}$

Step 2

Rewrite $9 x^{2}$ as ${(3 x)}^{2}$ .

$1^{2} - {(3 x)}^{2}$

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 $b = 3 x$ .

$(1 + 3 x) (1 - (3 x))$

Step 4

Multiply $3$ by $- 1$ .

$(1 + 3 x) (1 - 3 x)$