Question
Answer
$$(5a-1)^3=125a^3-75a^2+15a-1$$
Explanation
| $$ \begin{aligned}(5a-1)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}125a^3-75a^2+15a-1\end{aligned} $$ | |
| ① | Find $ \left(5a-1\right)^3 $ using formula $$ (A - B) = A^3 - 3A^2B + 3AB^2 - B^3 $$where $ A = 5a $ and $ B = 1 $. $$ \left(5a-1\right)^3 = \left( 5a \right)^3-3 \cdot \left( 5a \right)^2 \cdot 1 + 3 \cdot 5a \cdot 1^2-1^3 = 125a^3-75a^2+15a-1 $$ |
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