Question
Answer
$$3a(6a^2-4ab^2)+8a^2b^2-2b^3=-4a^2b^2+18a^3-2b^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3a(6a^2-4ab^2)+8a^2b^2-2b^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}18a^3-12a^2b^2+8a^2b^2-2b^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4a^2b^2+18a^3-2b^3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3a} $ by $ \left( 6a^2-4ab^2\right) $ $$ \color{blue}{3a} \cdot \left( 6a^2-4ab^2\right) = 18a^3-12a^2b^2 $$ |
| ② | Combine like terms: $$ 18a^3 \color{blue}{-12a^2b^2} + \color{blue}{8a^2b^2} -2b^3 = \color{blue}{-4a^2b^2} +18a^3-2b^3 $$ |
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