Simplify $2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]$ .
A) $42 y ^ { 2 } + 1$
B) $42 y ^ { 2 } + 4 y + 8$
C) $21 y ^ { 2 } + 11 y + 1$
D) $6 y ^ { 2 } + 11 y + 6$
E) $42 y ^ { 2 } + 25 y + 1$

Question

Quizplus · Accepted Answer

First, distribute the innermost parentheses: $2[9y - 3 + 21y^2 - 7y + 7]$. Combine like terms inside the brackets to get $2[21y^2 + 2y + 4]$. Then distribute the 2 across the terms inside the brackets to get $42y^2 + 4y + 8$.

Simplify 2[3(3y−1)+7(3y2−y+1)]2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]2[3(3y−1)+7(3y2−y+1)]

Simplify $2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]$