Question
Answer
$$(7g+2)(5g+4)=35g^2+38g+8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7g+2)(5g+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}35g^2+28g+10g+8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}35g^2+38g+8\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7g+2}\right) $ by each term in $ \left( 5g+4\right) $. $$ \left( \color{blue}{7g+2}\right) \cdot \left( 5g+4\right) = 35g^2+28g+10g+8 $$ |
| ② | Combine like terms: $$ 35g^2+ \color{blue}{28g} + \color{blue}{10g} +8 = 35g^2+ \color{blue}{38g} +8 $$ |
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