Answer
$(w+12)(w-12)$
Work Step by Step
$w^{2}-144=$
...rewrite $144$ as a square.
$=w^{2}-12^{2}$
...factor using the rule for a difference of two squares.
($a^{2}-b^{2}=(a+b)(a-b),\ a=w,\ b=12$)
$=(w+12)(w-12)$
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