Simplify the expression, and combine like terms.
-$$6 \left( 2 a ^ { 2 } + 9 a b \right) - a ( 2 a - 5 b )$$
A) $14 a ^ { 2 } + 59 a b$
B) $14 a ^ { 2 } + 9 a b - 5 b$
C) $10 a ^ { 2 } + 59 a b$
D) $10 a ^ { 2 } + 49 a b$

Question

Quizplus · Accepted Answer

First, distribute the terms: $6(2a^2 + 9ab) = 12a^2 + 54ab$ and $-a(2a - 5b) = -2a^2 + 5ab$. Combine like terms: $12a^2 - 2a^2 = 10a^2$ and $54ab + 5ab = 59ab$. The simplified expression is $10a^2 + 59ab$.

Simplify the Expression, and Combine Like Terms 6(2a2+9ab)−a(2a−5b)6 \left( 2 a ^ { 2 } + 9 a b \right) - a ( 2 a - 5 b )6(2a2+9ab)−a(2a−5b)

Simplify the Expression, and Combine Like Terms $6 \left( 2 a ^ { 2 } + 9 a b \right) - a ( 2 a - 5 b )$