Perform the indicated operations.
-$$\left[ \left( 3 x ^ { 9 } + 2 \right) - \left( - 12 x ^ { 7 } + 9 x ^ { 3 } \right) \right] - \left[ \left( 7 x ^ { 9 } - 7 x ^ { 5 } + 9 x \right) + \left( 11 x ^ { 3 } - 9 x - 10 \right) \right]$$
A) $4 x ^ { 9 } + 12 x ^ { 7 } + 7 x ^ { 5 } - 20 x ^ { 3 } + 12$
B) $- 4 x ^ { 9 } + 12 x ^ { 7 } - 7 x ^ { 5 } - 20 x ^ { 3 } + 12$
C) $- 4 x ^ { 9 } + 12 x ^ { 7 } + 7 x ^ { 5 } - 20 x ^ { 3 } + 12$
D) $4 x ^ { 9 } + 12 x ^ { 7 } - 7 x ^ { 5 } - 20 x ^ { 3 } + 12$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the first set of brackets: $3x^9 + 2 + 12x^7 - 9x^3$. Then, simplify the expression inside the second set of brackets: $7x^9 - 7x^5 + 9x + 11x^3 - 9x - 10$. Subtracting the second simplified expression from the first gives $-4x^9 + 12x^7 + 7x^5 - 20x^3 + 12$.

Perform the Indicated Operations A) 4x9+12x7+7x5−20x3+124 x ^ { 9 } + 12 x ^ { 7 } + 7 x ^ { 5 } - 20 x ^ { 3 } + 124x9+12x7+7x5−20x3+12

Perform the Indicated Operations A) $4 x ^ { 9 } + 12 x ^ { 7 } + 7 x ^ { 5 } - 20 x ^ { 3 } + 12$