Question
Answer
$$(4a+5)(5a+8)=20a^2+57a+40$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4a+5)(5a+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20a^2+32a+25a+40 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20a^2+57a+40\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{4a+5}\right) $ by each term in $ \left( 5a+8\right) $. $$ \left( \color{blue}{4a+5}\right) \cdot \left( 5a+8\right) = 20a^2+32a+25a+40 $$ |
| ② | Combine like terms: $$ 20a^2+ \color{blue}{32a} + \color{blue}{25a} +40 = 20a^2+ \color{blue}{57a} +40 $$ |
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