factor.\nw^2 - 16w + 64

Explanation:

Step1: Recognize the form

The expression $w^{2}-16w + 64$ is in the form of $a^{2}-2ab + b^{2}$, where $a = w$ and $2b=16$ (so $b = 8$).

Step2: Apply the perfect - square formula

The perfect - square formula is $a^{2}-2ab + b^{2}=(a - b)^{2}$. Substituting $a = w$ and $b = 8$ into the formula, we get $(w - 8)^{2}$.

Answer:

$(w - 8)^{2}$