Algebra Examples

$\frac{4 w - 3}{9 w^{2} - 1}$

Step 1

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

$\frac{4 w - 3}{{(3 w)}^{2} - 1}$

Step 2

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

$\frac{4 w - 3}{{(3 w)}^{2} - 1^{2}}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 w$ and $b = 1$ .

$\frac{4 w - 3}{(3 w + 1) (3 w - 1)}$