Multiply. Assume that all variables represent natural numbers.
-$12 x ^ { n } \left( - 3 x ^ { 3 n } + 3 x ^ { n } + \frac { 1 } { 9 } x \right)$
A) $- 36 x ^ { 4 n } + 36 x ^ { 2 n } + \frac { 4 } { 3 } x ^ { n }$
B) $- 36 x ^ { 4 n } - 36 x ^ { 2 n } - \frac { 4 } { 3 } x ^ { n + 1 }$
C) $- 36 x ^ { 4 n } + 36 x ^ { n } + \frac { 4 } { 3 } x ^ { n + 1 }$
D) $- 36 x ^ { 4 n } + 36 x ^ { 2 n } + \frac { 4 } { 3 } x ^ { n + 1 }$

Question

Quizplus · Accepted Answer

The expression is multiplied term by term: $12x^n(-3x^{3n}) = -36x^{4n}$, $12x^n(3x^n) = 36x^{2n}$, and $12x^n(\frac{1}{9}x) = \frac{4}{3}x^{n+1}$.

Multiply Assume That All Variables Represent Natural Numbers 12xn(−3x3n+3xn+19x)12 x ^ { n } \left( - 3 x ^ { 3 n } + 3 x ^ { n } + \frac { 1 } { 9 } x \right)12xn(−3x3n+3xn+91​x)

Multiply Assume That All Variables Represent Natural Numbers $12 x ^ { n } \left( - 3 x ^ { 3 n } + 3 x ^ { n } + \frac { 1 } { 9 } x \right)$