Simplify the expression. If the expression cannot be simplified, so state.
-$7 \left\{ 9 y ^ { 2 } + 4 \left[ 5 y ^ { 2 } - \left( y + z ^ { 2 } \right) \right] \right\}$
A) $175 y ^ { 2 } - 28 y$
B) $83 y ^ { 2 } - 4 y - 4 z ^ { 2 }$
C) $203 y ^ { 2 } - 7 y + 7 z ^ { 2 }$
D) $203 y ^ { 2 } - 28 y - 28 z ^ { 2 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the brackets: $9y^2 + 4(5y^2 - (y + z^2)) = 9y^2 + 20y^2 - 4y - 4z^2 = 29y^2 - 4y - 4z^2$. Then, multiply by 7: $7(29y^2 - 4y - 4z^2) = 203y^2 - 28y - 28z^2$.

Simplify the Expression 7{9y2+4[5y2−(y+z2)]}7 \left\{ 9 y ^ { 2 } + 4 \left[ 5 y ^ { 2 } - \left( y + z ^ { 2 } \right) \right] \right\}7{9y2+4[5y2−(y+z2)]}

Simplify the Expression $7 \left\{ 9 y ^ { 2 } + 4 \left[ 5 y ^ { 2 } - \left( y + z ^ { 2 } \right) \right] \right\}$