Question

Expand ${(3a+4b)}^3$.

Answer 1

The given expression is : ${(3a+4b)}^3$

$$\begin{gathered} {(3a+4b)}^3=(3a{)}^3+3{\left(3a\right)}^2(4b)+3(3a){\left(4b\right)}^2+{\left(4b\right)}^3 \\ =27a^3+108a^{2}b+144a{b}^2+64b^3 \end{gathered}$$