Answer
$$(p-2y)^3=p^3-6p^2y+12py^2-8y^3$$
Explanation
| $$ \begin{aligned}(p-2y)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}p^3-6p^2y+12py^2-8y^3\end{aligned} $$ | |
| ① | Find $ \left(p-2y\right)^3 $ using formula $$ (A - B) = A^3 - 3A^2B + 3AB^2 - B^3 $$where $ A = p $ and $ B = 2y $. $$ \left(p-2y\right)^3 = p^3-3 \cdot p^2 \cdot 2y + 3 \cdot p \cdot \left( 2y \right)^2-\left( 2y \right)^3 = p^3-6p^2y+12py^2-8y^3 $$ |
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