Answer
$$(-12a^2+2ab)(-a+2b)=12a^3-26a^2b+4ab^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-12a^2+2ab)(-a+2b)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12a^3-24a^2b-2a^2b+4ab^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12a^3-26a^2b+4ab^2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-12a^2+2ab}\right) $ by each term in $ \left( -a+2b\right) $. $$ \left( \color{blue}{-12a^2+2ab}\right) \cdot \left( -a+2b\right) = 12a^3-24a^2b-2a^2b+4ab^2 $$ |
| ② | Combine like terms: $$ 12a^3 \color{blue}{-24a^2b} \color{blue}{-2a^2b} +4ab^2 = 12a^3 \color{blue}{-26a^2b} +4ab^2 $$ |
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