Question
Answer
$$5x^2+6x^3-(x-3x^3)=9x^3+5x^2-x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2+6x^3-(x-3x^3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2+6x^3-x+3x^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^3+5x^2-x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( x-3x^3 \right) = -x+3x^3 $$ |
| ② | Combine like terms: $$ 5x^2+ \color{blue}{6x^3} -x+ \color{blue}{3x^3} = \color{blue}{9x^3} +5x^2-x $$ |
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