Answer
$$2(2a+5b)+5(2a+5b)=14a+35b$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(2a+5b)+5(2a+5b)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4a+10b+10a+25b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14a+35b\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 2a+5b\right) $ $$ \color{blue}{2} \cdot \left( 2a+5b\right) = 4a+10b $$Multiply $ \color{blue}{5} $ by $ \left( 2a+5b\right) $ $$ \color{blue}{5} \cdot \left( 2a+5b\right) = 10a+25b $$ |
| ② | Combine like terms: $$ \color{blue}{4a} + \color{red}{10b} + \color{blue}{10a} + \color{red}{25b} = \color{blue}{14a} + \color{red}{35b} $$ |
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