Question
Answer
$$5(2a-3)+3\cdot(2+2a)=16a-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5(2a-3)+3\cdot(2+2a)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10a-15+6+6a \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16a-9\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5} $ by $ \left( 2a-3\right) $ $$ \color{blue}{5} \cdot \left( 2a-3\right) = 10a-15 $$Multiply $ \color{blue}{3} $ by $ \left( 2+2a\right) $ $$ \color{blue}{3} \cdot \left( 2+2a\right) = 6+6a $$ |
| ② | Combine like terms: $$ \color{blue}{10a} \color{red}{-15} + \color{red}{6} + \color{blue}{6a} = \color{blue}{16a} \color{red}{-9} $$ |
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