w^2 + 16w + 64

To factor the expression w^2 + 16w + 64, we need to find two numbers that multiply to 64 and add up to 16. These two numbers are 8 and 8.

Therefore, we can rewrite the expression as:

(w + 8)(w + 8)

Which simplifies to:

(w + 8)^2

So, w^2 + 16w + 64 = (w + 8)^2