Find the product
-$12 a x^{5}\left(10 a x^{7}+5 x^{3}+11\right)$

A) $-120 a^{2} x^{35}-60 a x^{15}-132 a x^{5}$
B) $120 a^{2} x^{12}+60 a x^{8}+132 a x^{5}$
C) $120 a x^{35}+60 a x^{15}+132 a x^{5}$
D) $-120 a^{2} x^{12}-60 a x^{8}-132 a x^{5}$

Question

Find the product
-$12 a x^{5}\left(10 a x^{7}+5 x^{3}+11\right)$

A) $-120 a^{2} x^{35}-60 a x^{15}-132 a x^{5}$
B) $120 a^{2} x^{12}+60 a x^{8}+132 a x^{5}$
C) $120 a x^{35}+60 a x^{15}+132 a x^{5}$
D) $-120 a^{2} x^{12}-60 a x^{8}-132 a x^{5}$

Quizplus · Accepted Answer

When multiplying $12 a x^{5}$ by each term inside the parentheses, apply the distributive property and the rule for multiplying powers (add exponents for the same base): $12 a x^{5} \cdot 10 a x^{7} = 120 a^{2} x^{12}$, $12 a x^{5} \cdot 5 x^{3} = 60 a x^{8}$, and $12 a x^{5} \cdot 11 = 132 a x^{5}$.

Find the Product - 12ax5(10ax7+5x3+11)12 a x^{5}\left(10 a x^{7}+5 x^{3}+11\right)12ax5(10ax7+5x3+11) A) −120a2x35−60ax15−132ax5-120 a^{2} x^{35}-60 a x^{15}-132 a x^{5}−120a2x35−60ax15−132ax5

Find the Product
- $12 a x^{5}\left(10 a x^{7}+5 x^{3}+11\right)$ A) $-120 a^{2} x^{35}-60 a x^{15}-132 a x^{5}$