Question
Answer
$$3(-4k+2m)+2m-5(8m-5k)=13k-32m$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3(-4k+2m)+2m-5(8m-5k)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-12k+6m+2m-(40m-25k) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12k+8m-(40m-25k) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-12k+8m-40m+25k \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}13k-32m\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( -4k+2m\right) $ $$ \color{blue}{3} \cdot \left( -4k+2m\right) = -12k+6m $$Multiply $ \color{blue}{5} $ by $ \left( 8m-5k\right) $ $$ \color{blue}{5} \cdot \left( 8m-5k\right) = 40m-25k $$ |
| ② | Combine like terms: $$ -12k+ \color{blue}{6m} + \color{blue}{2m} = -12k+ \color{blue}{8m} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 40m-25k \right) = -40m+25k $$ |
| ④ | Combine like terms: $$ \color{blue}{-12k} + \color{red}{8m} \color{red}{-40m} + \color{blue}{25k} = \color{blue}{13k} \color{red}{-32m} $$ |
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