Algebra Examples

$\frac{5 - 9 w}{9 w^{2} - 4}$

Step 1

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

$\frac{5 - 9 w}{{(3 w)}^{2} - 4}$

Step 2

Rewrite $4$ as $2^{2}$ .

$\frac{5 - 9 w}{{(3 w)}^{2} - 2^{2}}$

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 $b = 2$ .

$\frac{5 - 9 w}{(3 w + 2) (3 w - 2)}$