Question
Answer
$$5(t+7)-9(t-2)=-4t+53$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5(t+7)-9(t-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5t+35-(9t-18) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5t+35-9t+18 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4t+53\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5} $ by $ \left( t+7\right) $ $$ \color{blue}{5} \cdot \left( t+7\right) = 5t+35 $$Multiply $ \color{blue}{9} $ by $ \left( t-2\right) $ $$ \color{blue}{9} \cdot \left( t-2\right) = 9t-18 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9t-18 \right) = -9t+18 $$ |
| ③ | Combine like terms: $$ \color{blue}{5t} + \color{red}{35} \color{blue}{-9t} + \color{red}{18} = \color{blue}{-4t} + \color{red}{53} $$ |
This page was created using
Simplify polynomials calculator