Multiply.
-$\left( \frac { 2 } { 3 } m + 2 \right) \left( \frac { 4 } { 3 } m + 2 \right)$
A) $\frac { 4 } { 3 } m ^ { 2 } + 4 m + 4$
B) $\frac { 8 } { 9 } m ^ { 2 } + 4 m + 4$
C) $\frac { 8 } { 3 } m ^ { 2 } + 4 m + 4$
D) $\frac { 8 } { 3 } m ^ { 2 } + 4 m + 8$

Question

Quizplus · Accepted Answer

To multiply the given expressions, use the distributive property (FOIL method): $\left( \frac { 2 } { 3 } m + 2 \right) \left( \frac { 4 } { 3 } m + 2 \right)$. First, multiply the first terms: $\frac { 2 } { 3 } m \times \frac { 4 } { 3 } m = \frac { 8 } { 9 } m^2$. Then, multiply the outer terms: $\frac { 2 } { 3 } m \times 2 = \frac { 4 } { 3 } m$. Next, multiply the inner terms: $2 \times \frac { 4 } { 3 } m = \frac { 8 } { 3 } m$. Finally, multiply the last terms: $2 \times 2 = 4$. Adding these results together gives $\frac { 8 } { 9 } m^2 + \frac { 4 } { 3 } m + \frac { 8 } { 3 } m + 4$, which simplifies to $\frac { 8 } { 9 } m^2 + 4 m + 4$.

Multiply - (23m+2)(43m+2)\left( \frac { 2 } { 3 } m + 2 \right) \left( \frac { 4 } { 3 } m + 2 \right)(32​m+2)(34​m+2)

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