Answer
$$(2a+2b)^3=8a^3+24a^2b+24ab^2+8b^3$$
Explanation
| $$ \begin{aligned}(2a+2b)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8a^3+24a^2b+24ab^2+8b^3\end{aligned} $$ | |
| ① | Find $ \left(2a+2b\right)^3 $ using formula $$ (A + B) = A^3 + 3A^2B + 3AB^2 + B^3 $$where $ A = 2a $ and $ B = 2b $. $$ \left(2a+2b\right)^3 = \left( 2a \right)^3+3 \cdot \left( 2a \right)^2 \cdot 2b + 3 \cdot 2a \cdot \left( 2b \right)^2+\left( 2b \right)^3 = 8a^3+24a^2b+24ab^2+8b^3 $$ |
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