Multiply.
-$3 m n \left( 4 m ^ { 2 } - 3 m n + 4 n ^ { 2 } \right)$
A) $12 m ^ { 3 } n + 9 m ^ { 2 } n ^ { 2 } + 12 m n ^ { 3 }$
B) $12 m ^ { 3 } n - 3 m n + 4 n ^ { 2 }$
C) $12 m ^ { 3 } n - 9 m ^ { 2 } n ^ { 2 } + 12 m n ^ { 3 }$
D) $12 m ^ { 2 } n - 9 m n + 12 m n ^ { 2 }$

Question

Quizplus · Accepted Answer

To multiply $3mn$ by the trinomial, distribute $3mn$ across each term inside the parentheses: $3mn \times 4m^2 = 12m^3n$, $3mn \times (-3mn) = -9m^2n^2$, and $3mn \times 4n^2 = 12mn^3$.

Multiply - 3mn(4m2−3mn+4n2)3 m n \left( 4 m ^ { 2 } - 3 m n + 4 n ^ { 2 } \right)3mn(4m2−3mn+4n2)

Multiply
- $3 m n \left( 4 m ^ { 2 } - 3 m n + 4 n ^ { 2 } \right)$