Tap the blue circles to see an explanation.
$$ \begin{aligned}2(3a+4)+4(2a-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6a+8+8a-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14a-4\end{aligned} $$ | |
① | Multiply $ \color{blue}{2} $ by $ \left( 3a+4\right) $ $$ \color{blue}{2} \cdot \left( 3a+4\right) = 6a+8 $$Multiply $ \color{blue}{4} $ by $ \left( 2a-3\right) $ $$ \color{blue}{4} \cdot \left( 2a-3\right) = 8a-12 $$ |
② | Combine like terms: $$ \color{blue}{6a} + \color{red}{8} + \color{blue}{8a} \color{red}{-12} = \color{blue}{14a} \color{red}{-4} $$ |