Question
Answer
$$(8n-3)(9n+4)=72n^2+5n-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(8n-3)(9n+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}72n^2+32n-27n-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}72n^2+5n-12\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{8n-3}\right) $ by each term in $ \left( 9n+4\right) $. $$ \left( \color{blue}{8n-3}\right) \cdot \left( 9n+4\right) = 72n^2+32n-27n-12 $$ |
| ② | Combine like terms: $$ 72n^2+ \color{blue}{32n} \color{blue}{-27n} -12 = 72n^2+ \color{blue}{5n} -12 $$ |
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