Question
Answer
$$6n-2n^3-(4n^3-8n)=-6n^3+14n$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6n-2n^3-(4n^3-8n)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6n-2n^3-4n^3+8n \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6n^3+14n\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4n^3-8n \right) = -4n^3+8n $$ |
| ② | Combine like terms: $$ \color{blue}{6n} \color{red}{-2n^3} \color{red}{-4n^3} + \color{blue}{8n} = \color{red}{-6n^3} + \color{blue}{14n} $$ |
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