Question
Answer
$$7x^3+3x^2-(x-5x^3-2x^2)=12x^3+5x^2-x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x^3+3x^2-(x-5x^3-2x^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x^3+3x^2-x+5x^3+2x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12x^3+5x^2-x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( x-5x^3-2x^2 \right) = -x+5x^3+2x^2 $$ |
| ② | Combine like terms: $$ \color{blue}{7x^3} + \color{red}{3x^2} -x+ \color{blue}{5x^3} + \color{red}{2x^2} = \color{blue}{12x^3} + \color{red}{5x^2} -x $$ |
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