Factor p^2-36

$p^{2} - 36$

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

$p^{2} - 6^{2}$

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

$(p + 6) (p - 6)$