Add or subtract.
-$$\left( 2 x ^ { 6 } + 2 x ^ { 5 } + 4 x ^ { 4 } + 6 \right) - \left( 5 x ^ { 6 } - 8 x ^ { 5 } + 7 x ^ { 4 } + 3 \right)$$
A) $- 3 x ^ { 6 } + 10 x ^ { 5 } - 3 x ^ { 4 } + 3$
B) $7 x ^ { 6 } - 6 x ^ { 5 } + 11 x ^ { 4 } + 9$
C) $- 3 x ^ { 6 } + 6 x ^ { 5 } - 11 x ^ { 4 } + 9$
D) $7 x ^ { 6 } - 6 x ^ { 5 } + 11 x ^ { 4 } + 3$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first gives: $2x^6 - 5x^6 = -3x^6$, $2x^5 + 8x^5 = 10x^5$, $4x^4 - 7x^4 = -3x^4$, and $6 - 3 = 3$, resulting in $-3x^6 + 10x^5 - 3x^4 + 3$.

Add or Subtract (2x6+2x5+4x4+6)−(5x6−8x5+7x4+3)\left( 2 x ^ { 6 } + 2 x ^ { 5 } + 4 x ^ { 4 } + 6 \right) - \left( 5 x ^ { 6 } - 8 x ^ { 5 } + 7 x ^ { 4 } + 3 \right)(2x6+2x5+4x4+6)−(5x6−8x5+7x4+3)

Add or Subtract $\left( 2 x ^ { 6 } + 2 x ^ { 5 } + 4 x ^ { 4 } + 6 \right) - \left( 5 x ^ { 6 } - 8 x ^ { 5 } + 7 x ^ { 4 } + 3 \right)$