Perform the indicated operations.
-$\left( 3 x ^ { 9 } + 3 x ^ { 7 } - 3 x ^ { 3 } + 5 \right) - \left( 12 x ^ { 9 } - 6 x ^ { 5 } + 3 x ^ { 3 } - 12 \right)$
A) $- 9 x ^ { 9 } + 3 x ^ { 7 } + 6 x ^ { 5 } - 6 x ^ { 3 } + 17$
B) $- 9 x ^ { 9 } + 3 x ^ { 7 } - 6 x ^ { 5 } - 6 x ^ { 3 } + 17$
C) $9 x ^ { 9 } + 3 x ^ { 7 } - 6 x ^ { 5 } - 6 x ^ { 3 } + 17$
D) $9 x ^ { 9 } + 3 x ^ { 7 } + 6 x ^ { 5 } - 6 x ^ { 3 } + 17$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first, we combine like terms: $3x^9 - 12x^9 = -9x^9$, $3x^7$ remains unchanged, $-3x^3 - 3x^3 = -6x^3$, and $5 - (-12) = 17$. The term $-6x^5$ comes from subtracting 0 (since it's not in the first polynomial) from $-6x^5$ in the second polynomial.

Perform the Indicated Operations (3x9+3x7−3x3+5)−(12x9−6x5+3x3−12)\left( 3 x ^ { 9 } + 3 x ^ { 7 } - 3 x ^ { 3 } + 5 \right) - \left( 12 x ^ { 9 } - 6 x ^ { 5 } + 3 x ^ { 3 } - 12 \right)(3x9+3x7−3x3+5)−(12x9−6x5+3x3−12)

Perform the Indicated Operations $\left( 3 x ^ { 9 } + 3 x ^ { 7 } - 3 x ^ { 3 } + 5 \right) - \left( 12 x ^ { 9 } - 6 x ^ { 5 } + 3 x ^ { 3 } - 12 \right)$