Answer
$$3mn(9b-11mn+4q)=-33m^2n^2+27bmn+12mnq$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3mn(9b-11mn+4q)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}27bmn-33m^2n^2+12mnq \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-33m^2n^2+27bmn+12mnq\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3mn} $ by $ \left( 9b-11mn+4q\right) $ $$ \color{blue}{3mn} \cdot \left( 9b-11mn+4q\right) = 27bmn-33m^2n^2+12mnq $$ |
| ② | Combine like terms: $$ -33m^2n^2+27bmn+12mnq = -33m^2n^2+27bmn+12mnq $$ |
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