Answer
$$2(m-3)(m-4)=2m^2-14m+24$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(m-3)(m-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(2m-6)(m-4) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2m^2-8m-6m+24 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2m^2-14m+24\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( m-3\right) $ $$ \color{blue}{2} \cdot \left( m-3\right) = 2m-6 $$ |
| ② | Multiply each term of $ \left( \color{blue}{2m-6}\right) $ by each term in $ \left( m-4\right) $. $$ \left( \color{blue}{2m-6}\right) \cdot \left( m-4\right) = 2m^2-8m-6m+24 $$ |
| ③ | Combine like terms: $$ 2m^2 \color{blue}{-8m} \color{blue}{-6m} +24 = 2m^2 \color{blue}{-14m} +24 $$ |
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