Subtract. $\left( x ^ { 2 } - 2 x + 8 \right) - \left( 5 x ^ { 2 } + x + 2 \right)$
A) $- 4 x ^ { 2 } - 3 x - 8$
B) $- 4 x ^ { 2 } - 3 x + 6$
C) $- 4 x ^ { 2 } + 3 x + 10$
D) $4 x ^ { 2 } - 1 x - 6$
E) $6 x ^ { 2 } - 1 x + 10$

Question

Quizplus · Accepted Answer

To subtract, we need to distribute the negative sign to each term inside the second parentheses. Then, we can combine like terms with the first parentheses. \begin{align*}
\left( x ^ { 2 } - 2 x + 8 ight) - \left( 5 x ^ { 2 } + x + 2 ight) &= x^2 - 2x + 8 - 5x^2 - x - 2 \
&= -4x^2 - 3x + 6
\end{align*}Therefore, the answer is choice B.

Subtract (x2−2x+8)−(5x2+x+2)\left( x ^ { 2 } - 2 x + 8 \right) - \left( 5 x ^ { 2 } + x + 2 \right)(x2−2x+8)−(5x2+x+2)

Subtract $\left( x ^ { 2 } - 2 x + 8 \right) - \left( 5 x ^ { 2 } + x + 2 \right)$