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

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first gives: $3x^8 - 5x^8 = -2x^8$, $10x^6$ remains unchanged as there's no $x^6$ term in the second polynomial, $-11x^3 - 3x^3 = -14x^3$, and $3 - (-11) = 14$. The $x^4$ term from the second polynomial changes sign to $+9x^4$ when subtracted.

Find the Sum or Difference (3x8+10x6−11x3+3)−(5x8−9x4+3x3−11)\left( 3 x ^ { 8 } + 10 x ^ { 6 } - 11 x ^ { 3 } + 3 \right) - \left( 5 x ^ { 8 } - 9 x ^ { 4 } + 3 x ^ { 3 } - 11 \right)(3x8+10x6−11x3+3)−(5x8−9x4+3x3−11)

Find the Sum or Difference $\left( 3 x ^ { 8 } + 10 x ^ { 6 } - 11 x ^ { 3 } + 3 \right) - \left( 5 x ^ { 8 } - 9 x ^ { 4 } + 3 x ^ { 3 } - 11 \right)$