Algebra Examples

$R (x) = \frac{7}{x^{2} - 36}$

Step 1

Rewrite $36$ as $6^{2}$ .

$R (x) = \frac{7}{x^{2} - 6^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 6$ .

$R (x) = \frac{7}{(x + 6) (x - 6)}$