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