Tap the blue circles to see an explanation.
| $$ \begin{aligned}5(4v-5)+5(3v+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20v-25+15v+20 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}35v-5\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5} $ by $ \left( 4v-5\right) $ $$ \color{blue}{5} \cdot \left( 4v-5\right) = 20v-25 $$Multiply $ \color{blue}{5} $ by $ \left( 3v+4\right) $ $$ \color{blue}{5} \cdot \left( 3v+4\right) = 15v+20 $$ |
| ② | Combine like terms: $$ \color{blue}{20v} \color{red}{-25} + \color{blue}{15v} + \color{red}{20} = \color{blue}{35v} \color{red}{-5} $$ |