Answer
$(p+6)(p-6)$
Work Step by Step
$p^{2}-36=$
...rewrite $36$ as a square.
$=p^{2}-6^{2}$
...factor using the rule for a difference of two squares.
($a^{2}-b^{2}=(a+b)(a-b),\ a=p,\ b=6$)
$=(p+6)(p-6)$
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