Find the sum or difference.
-$$\left( 4 x ^ { 9 } + 11 x ^ { 7 } - 9 x ^ { 2 } + 12 \right) - \left( 6 x ^ { 9 } - 3 x ^ { 5 } + 3 x ^ { 2 } - 12 \right)$$
A) $- 2 x ^ { 9 } + 11 x ^ { 7 } - 3 x ^ { 5 } - 12 x ^ { 2 } + 24$
B) $2 x ^ { 9 } + 11 x ^ { 7 } + 3 x ^ { 5 } - 12 x ^ { 2 } + 24$
C) $- 2 x ^ { 9 } + 11 x ^ { 7 } + 3 x ^ { 5 } - 12 x ^ { 2 } + 24$
D) $2 x ^ { 9 } + 11 x ^ { 7 } - 3 x ^ { 5 } - 12 x ^ { 2 } + 24$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first, we combine like terms: $4x^9 - 6x^9 = -2x^9$, $11x^7$ remains unchanged as there's no $x^7$ term in the second polynomial, $-3x^5$ is also unchanged as there's no corresponding term in the first polynomial, $ -9x^2 - 3x^2 = -12x^2$, and $12 - (-12) = 24$. This results in $-2x^9 + 11x^7 + 3x^5 - 12x^2 + 24$.

Find the Sum or Difference (4x9+11x7−9x2+12)−(6x9−3x5+3x2−12)\left( 4 x ^ { 9 } + 11 x ^ { 7 } - 9 x ^ { 2 } + 12 \right) - \left( 6 x ^ { 9 } - 3 x ^ { 5 } + 3 x ^ { 2 } - 12 \right)(4x9+11x7−9x2+12)−(6x9−3x5+3x2−12)

Find the Sum or Difference $\left( 4 x ^ { 9 } + 11 x ^ { 7 } - 9 x ^ { 2 } + 12 \right) - \left( 6 x ^ { 9 } - 3 x ^ { 5 } + 3 x ^ { 2 } - 12 \right)$