Answer
$$3m^2+7m-1-(m^2+2m-5)=2m^2+5m+4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3m^2+7m-1-(m^2+2m-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3m^2+7m-1-m^2-2m+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2m^2+5m+4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( m^2+2m-5 \right) = -m^2-2m+5 $$ |
| ② | Combine like terms: $$ \color{blue}{3m^2} + \color{red}{7m} \color{green}{-1} \color{blue}{-m^2} \color{red}{-2m} + \color{green}{5} = \color{blue}{2m^2} + \color{red}{5m} + \color{green}{4} $$ |
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