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