Question

factor.
$w^{2}-12w + 36$

Explanation:

Step1: Identify the form

The expression $w^{2}-12w + 36$ is in the form of $a^{2}-2ab + b^{2}$, where $a = w$ and $2b=12$ (so $b = 6$).

Step2: Apply the perfect - square formula

The perfect - square formula is $a^{2}-2ab + b^{2}=(a - b)^{2}$. Substituting $a = w$ and $b = 6$ into the formula, we get $(w - 6)^{2}$.

Answer:

$(w - 6)^{2}$