Find the sum or difference.
-$12 a ^ { 2 } x ^ { 8 } \left( - 4 a ^ { 7 } x ^ { 9 } - 3 x ^ { 5 } - 8 a \right)$
A) $- 48 a ^ { 14 } x ^ { 72 } + 36 a ^ { 2 } x 40 + 96 a ^ { 2 } x$
B) $48 a ^ { 9 } x ^ { 17 } + 36 a ^ { 2 } x 13 + 96 a ^ { 3 } x ^ { 8 }$
C) $- 48 a ^ { 9 } x ^ { 17 } - 3 x ^ { 5 } - 8 a$
D) $- 48 a ^ { 9 } x ^ { 17 } - 36 a ^ { 2 } x ^ { 13 } - 96 a ^ { 3 } x ^ { 8 }$

Question

Quizplus · Accepted Answer

When multiplying terms, you add the exponents for variables with the same base and multiply the coefficients. For each term inside the parentheses, multiply by $12a^2x^8$: 1. $12a^2x^8 * -4a^7x^9 = -48a^{9}x^{17}$2. $12a^2x^8 * -3x^5 = -36a^2x^{13}$3. $12a^2x^8 * -8a = -96a^3x^8$

Find the Sum or Difference 12a2x8(−4a7x9−3x5−8a)12 a ^ { 2 } x ^ { 8 } \left( - 4 a ^ { 7 } x ^ { 9 } - 3 x ^ { 5 } - 8 a \right)12a2x8(−4a7x9−3x5−8a)

Find the Sum or Difference $12 a ^ { 2 } x ^ { 8 } \left( - 4 a ^ { 7 } x ^ { 9 } - 3 x ^ { 5 } - 8 a \right)$