Multiply by using the distributive property. $- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)$
A) $- 4 y ^ { 3 } + 8 y ^ { 2 } + 32 y$
B) $- 36 y ^ { 3 } + 2 y ^ { 2 } + 8 y$
C) $- 36 y ^ { 3 } + 8 y ^ { 2 } + 32 y$
D) $- 36 y ^ { 3 } + 2 y ^ { 2 } + 32 y$
E) $- 36 y ^ { 3 } + 8 y ^ { 2 } + 8 y$

Question

Quizplus · Accepted Answer

We distribute -4y to each term inside the parentheses and simplify. 
\begin{align*}
-4y(9y^2-2y-8) &= -4y\cdot9y^2 + (-4y)\cdot(-2y) + (-4y)\cdot(-8)\
&= -36y^3 + 8y^2 + 32y
\end{align*}
Therefore, the answer is (C).

Multiply by Using the Distributive Property −4y(9y2−2y−8)- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)−4y(9y2−2y−8)

Multiply by Using the Distributive Property $- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)$