Question
Answer
$$(m-4)(3m+3)=3m^2-9m-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(m-4)(3m+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3m^2+3m-12m-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3m^2-9m-12\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{m-4}\right) $ by each term in $ \left( 3m+3\right) $. $$ \left( \color{blue}{m-4}\right) \cdot \left( 3m+3\right) = 3m^2+3m-12m-12 $$ |
| ② | Combine like terms: $$ 3m^2+ \color{blue}{3m} \color{blue}{-12m} -12 = 3m^2 \color{blue}{-9m} -12 $$ |
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