Trigonometry Examples

$\frac{z^{2} - 36}{z^{2} + 36}$

Step 1

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

$\frac{z^{2} - 6^{2}}{z^{2} + 36}$

Step 2

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

$\frac{(z + 6) (z - 6)}{z^{2} + 36}$