Answer
$$(2m+7n)(4m-7n)=8m^2+14mn-49n^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2m+7n)(4m-7n)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8m^2-14mn+28mn-49n^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8m^2+14mn-49n^2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2m+7n}\right) $ by each term in $ \left( 4m-7n\right) $. $$ \left( \color{blue}{2m+7n}\right) \cdot \left( 4m-7n\right) = 8m^2-14mn+28mn-49n^2 $$ |
| ② | Combine like terms: $$ 8m^2 \color{blue}{-14mn} + \color{blue}{28mn} -49n^2 = 8m^2+ \color{blue}{14mn} -49n^2 $$ |
This page was created using
Simplify polynomials calculator