Question

Simplify (2x – 2y)(2y + 8) = ? A. 4xy – 4y2 B. 4xy – 16x – 4y2 – 16y C. 4xy + 16x + 4y2 + 16y D. 4xy + 16x – 4y2 – 16y

Answer 1

D is the correct answer.

D. 4xy + 16x – 4y2 – 16y

Answer 2

(2x - 2y)(2y + 8);

2x(2y + 8) = 4xy + 16x
-2y(2y + 8) = -4y^2 - 16y

Put our products into standard form.
-4y^2 + 4xy - 16y + 16x

Our polynomial product is aligned with our answer choice "D.)"

D.) is your answer.

I hope this helps!