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