Simplify the expression. If the expression cannot be simplified, so state.
-$r ^ { 2 } s + 5 r s - \left[ - \left( r s + 6 r ^ { 2 } s \right) + r s \right]$
A) $12 r ^ { 3 } s ^ { 2 }$
B) $6 r ^ { 2 } s + 3 r s$
C) $- 5 r ^ { 2 } s + 7 r s$
D) $7 \mathrm { r } ^ { 2 } \mathrm {~s} + 5 \mathrm { rs }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the brackets: $-[-(rs + 6r^2s) + rs] = rs + 6r^2s - rs = 6r^2s$. Then, add this result to the rest of the expression: $r^2s + 5rs + 6r^2s = 7r^2s + 5rs$.

Simplify the Expression r2s+5rs−[−(rs+6r2s)+rs]r ^ { 2 } s + 5 r s - \left[ - \left( r s + 6 r ^ { 2 } s \right) + r s \right]r2s+5rs−[−(rs+6r2s)+rs]

Simplify the Expression $r ^ { 2 } s + 5 r s - \left[ - \left( r s + 6 r ^ { 2 } s \right) + r s \right]$