Question
Answer
$$(-13m^2-6m+4)(-6m^2+7m+12)=78m^4-55m^3-222m^2-44m+48$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-13m^2-6m+4)(-6m^2+7m+12)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}78m^4-55m^3-222m^2-44m+48\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-13m^2-6m+4}\right) $ by each term in $ \left( -6m^2+7m+12\right) $. $$ \left( \color{blue}{-13m^2-6m+4}\right) \cdot \left( -6m^2+7m+12\right) = 78m^4-91m^3-156m^2+36m^3-42m^2-72m-24m^2+28m+48 $$ |
| ② | Combine like terms: $$ 78m^4 \color{blue}{-91m^3} \color{red}{-156m^2} + \color{blue}{36m^3} \color{green}{-42m^2} \color{orange}{-72m} \color{green}{-24m^2} + \color{orange}{28m} +48 = \\ = 78m^4 \color{blue}{-55m^3} \color{green}{-222m^2} \color{orange}{-44m} +48 $$ |
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