Answer:
(y-8)(y-8)
(y + 8)^2
Explanation:
To factor the perfect square trinomial "y^2-16y+64" into two binomials, we need to find two binomials that multiply to give the trinomial.
Let's use the formula (y + n)(y + m), where n and m are integers.
If we set n = 8 and m = 8, we get:
(y + 8)(y + 8) = y^2 + 16y + 64
So, the perfect square trinomial y^2 - 16y + 64 can be factored into the binomials (y + 8)^2.