Question
Answer
$$(2m-3)(6m+1)=12m^2-16m-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2m-3)(6m+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12m^2+2m-18m-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12m^2-16m-3\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2m-3}\right) $ by each term in $ \left( 6m+1\right) $. $$ \left( \color{blue}{2m-3}\right) \cdot \left( 6m+1\right) = 12m^2+2m-18m-3 $$ |
| ② | Combine like terms: $$ 12m^2+ \color{blue}{2m} \color{blue}{-18m} -3 = 12m^2 \color{blue}{-16m} -3 $$ |
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