Answer
$$(8y-9)^3=512y^3-1728y^2+1944y-729$$
Explanation
| $$ \begin{aligned}(8y-9)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}512y^3-1728y^2+1944y-729\end{aligned} $$ | |
| ① | Find $ \left(8y-9\right)^3 $ using formula $$ (A - B) = A^3 - 3A^2B + 3AB^2 - B^3 $$where $ A = 8y $ and $ B = 9 $. $$ \left(8y-9\right)^3 = \left( 8y \right)^3-3 \cdot \left( 8y \right)^2 \cdot 9 + 3 \cdot 8y \cdot 9^2-9^3 = 512y^3-1728y^2+1944y-729 $$ |
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