Question
Answer
$$(2m+7)(11m+4)=22m^2+85m+28$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2m+7)(11m+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}22m^2+8m+77m+28 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}22m^2+85m+28\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2m+7}\right) $ by each term in $ \left( 11m+4\right) $. $$ \left( \color{blue}{2m+7}\right) \cdot \left( 11m+4\right) = 22m^2+8m+77m+28 $$ |
| ② | Combine like terms: $$ 22m^2+ \color{blue}{8m} + \color{blue}{77m} +28 = 22m^2+ \color{blue}{85m} +28 $$ |
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