Simplify.
-$\left( 3 w ^ { 2 } - 6 w \right) - \left[ \left( w ^ { 2 } + 5 w \right) - \left( 5 w ^ { 2 } - 2 w \right) \right]$
A) $- 3 w ^ { 2 } - 9 w$
B) $7 w ^ { 2 } - 9 w$
C) $- 3 w ^ { 2 } - 13 w$
D) $7 w ^ { 2 } - 13 w$

Question

Quizplus · Accepted Answer

First, simplify inside the brackets: $w^2 + 5w - (5w^2 - 2w) = w^2 + 5w - 5w^2 + 2w = -4w^2 + 7w$. Then, simplify the entire expression: $3w^2 - 6w - (-4w^2 + 7w) = 3w^2 - 6w + 4w^2 - 7w = 7w^2 - 13w$.

Simplify - (3w2−6w)−[(w2+5w)−(5w2−2w)]\left( 3 w ^ { 2 } - 6 w \right) - \left[ \left( w ^ { 2 } + 5 w \right) - \left( 5 w ^ { 2 } - 2 w \right) \right](3w2−6w)−[(w2+5w)−(5w2−2w)]

Simplify
- $\left( 3 w ^ { 2 } - 6 w \right) - \left[ \left( w ^ { 2 } + 5 w \right) - \left( 5 w ^ { 2 } - 2 w \right) \right]$