Simplify the algebraic expression.
-$$5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]$$
A) $20 x ^ { 2 } - 5 x + 70$
B) $20 x ^ { 2 } - 35 x + 70$
C) $20 x ^ { 2 } + 7 x + 14$
D) $20 x ^ { 2 } + 35 x + 70$

Question

Quizplus · Accepted Answer

First, distribute the -7 inside the parentheses: $-7(-2-x) = 14 + 7x$. Then, distribute the 5 across the terms inside the brackets: $5[4x^2 + 14 + 7x] = 20x^2 + 70 + 35x$, which simplifies to $20x^2 + 35x + 70$.

Simplify the Algebraic Expression 5[4x2−7(−2−x)]5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]5[4x2−7(−2−x)]

Simplify the Algebraic Expression $5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]$