Question
Answer
$$(5x-3)(x+8)=5x^2+37x-24$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x-3)(x+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2+40x-3x-24 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^2+37x-24\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x-3}\right) $ by each term in $ \left( x+8\right) $. $$ \left( \color{blue}{5x-3}\right) \cdot \left( x+8\right) = 5x^2+40x-3x-24 $$ |
| ② | Combine like terms: $$ 5x^2+ \color{blue}{40x} \color{blue}{-3x} -24 = 5x^2+ \color{blue}{37x} -24 $$ |
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