Answer
$(x+12)(x-12)$
Work Step by Step
If $a$ and $b$ are real numbers, we know that $a^{2}-b^{2}=(a+b)(a-b)$. In words, the difference of the squares of two terms factors as a product of a sum and a difference of those terms.
Therefore, we know that $x^{2}-144=(x+12)(x-12)$. In this case, $a=x$ and $b=12$.