Find the product.
-$8 a x ^ { 3 } \left( 7 a x ^ { 7 } - 8 x ^ { 3 } + 6 a \right)$
A) $56 a ^ { 2 } x ^ { 21 } - 64 a x ^ { 9 } + 48 a ^ { 2 } x ^ { 3 }$
B) $56 a x ^ { 10 } - 64 a x ^ { 6 } + 48 a x ^ { 3 }$
C) $56 a ^ { 2 } x ^ { 10 } - 64 a x ^ { 6 } + 48 a ^ { 2 } x ^ { 3 }$
D) $56 a ^ { 2 } x ^ { 10 } + 64 a x ^ { 6 } - 48 a ^ { 2 } x ^ { 3 }$

Question

Quizplus · Accepted Answer

To find the product, distribute $8ax^3$ across each term in the parentheses. For the first term, $8ax^3 \times 7ax^7 = 56a^2x^{10}$. For the second term, $8ax^3 \times -8x^3 = -64ax^6$. For the third term, $8ax^3 \times 6a = 48a^2x^3$. Combining these gives $56a^2x^{10} - 64ax^6 + 48a^2x^3$, which matches option C.

Find the Product 8ax3(7ax7−8x3+6a)8 a x ^ { 3 } \left( 7 a x ^ { 7 } - 8 x ^ { 3 } + 6 a \right)8ax3(7ax7−8x3+6a)

Find the Product $8 a x ^ { 3 } \left( 7 a x ^ { 7 } - 8 x ^ { 3 } + 6 a \right)$