Question
Answer
$$(8p+3)(5p-6)=40p^2-33p-18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(8p+3)(5p-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}40p^2-48p+15p-18 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}40p^2-33p-18\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{8p+3}\right) $ by each term in $ \left( 5p-6\right) $. $$ \left( \color{blue}{8p+3}\right) \cdot \left( 5p-6\right) = 40p^2-48p+15p-18 $$ |
| ② | Combine like terms: $$ 40p^2 \color{blue}{-48p} + \color{blue}{15p} -18 = 40p^2 \color{blue}{-33p} -18 $$ |
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