Question
Answer
$$(5p+9)(p-2)=5p^2-p-18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5p+9)(p-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5p^2-10p+9p-18 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5p^2-p-18\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5p+9}\right) $ by each term in $ \left( p-2\right) $. $$ \left( \color{blue}{5p+9}\right) \cdot \left( p-2\right) = 5p^2-10p+9p-18 $$ |
| ② | Combine like terms: $$ 5p^2 \color{blue}{-10p} + \color{blue}{9p} -18 = 5p^2 \color{blue}{-p} -18 $$ |
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