Find the sum or difference.
-$$\left( 5 x ^ { 4 } + 3 x ^ { 6 } - 5 + 7 x ^ { 5 } \right) - \left( 7 - 3 x ^ { 5 } + 8 x ^ { 6 } + 9 x ^ { 4 } \right)$$
A) $- 5 x ^ { 6 } + 10 x ^ { 5 } - 4 x ^ { 4 } - 12$
B) $- 5 x ^ { 6 } + 4 x ^ { 5 } + 14 x ^ { 4 } + 2$
C) $11 x ^ { 6 } + 4 x ^ { 5 } + 14 x ^ { 4 } - 12$
D) $11 x ^ { 6 } + 4 x ^ { 5 } + 14 x ^ { 4 } + 2$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first, we combine like terms: $3x^6 - 8x^6 = -5x^6$, $7x^5 - (-3x^5) = 10x^5$, $5x^4 - 9x^4 = -4x^4$, and $-5 - (-7) = -12$.

Find the Sum or Difference (5x4+3x6−5+7x5)−(7−3x5+8x6+9x4)\left( 5 x ^ { 4 } + 3 x ^ { 6 } - 5 + 7 x ^ { 5 } \right) - \left( 7 - 3 x ^ { 5 } + 8 x ^ { 6 } + 9 x ^ { 4 } \right)(5x4+3x6−5+7x5)−(7−3x5+8x6+9x4)

Find the Sum or Difference $\left( 5 x ^ { 4 } + 3 x ^ { 6 } - 5 + 7 x ^ { 5 } \right) - \left( 7 - 3 x ^ { 5 } + 8 x ^ { 6 } + 9 x ^ { 4 } \right)$