Solve the problem.
-$$12 x ^ { 5 } \left( - 8 x ^ { 6 } + 3 x ^ { 4 } + 11 \right)$$
A) $- 96 x ^ { 11 } + 36 x ^ { 9 }$
B) $- 96 x ^ { 11 } + 3 x ^ { 4 } + 11$
C) $- 96 x ^ { 6 } + 36 x ^ { 4 } + 132$
D) $- 96 x ^ { 11 } + 36 x ^ { 9 } + 132 x ^ { 5 }$

Question

Quizplus · Accepted Answer

To solve the given problem, distribute $12x^5$ across each term inside the parentheses. For the first term, $12x^5 \times -8x^6 = -96x^{11}$ (adding exponents since the bases are the same). For the second term, $12x^5 \times 3x^4 = 36x^9$ (again, adding exponents). For the third term, $12x^5 \times 11 = 132x^5$. Combining these results gives $-96x^{11} + 36x^9 + 132x^5$, which matches option D.

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Solve the Problem $12 x ^ { 5 } \left( - 8 x ^ { 6 } + 3 x ^ { 4 } + 11 \right)$