Question
Answer
$$5x-12x^2+9x^3-(5x^3+6x-3)=4x^3-12x^2-x+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x-12x^2+9x^3-(5x^3+6x-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x-12x^2+9x^3-5x^3-6x+3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^3-12x^2-x+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x^3+6x-3 \right) = -5x^3-6x+3 $$ |
| ② | Combine like terms: $$ \color{blue}{5x} -12x^2+ \color{red}{9x^3} \color{red}{-5x^3} \color{blue}{-6x} +3 = \color{red}{4x^3} -12x^2 \color{blue}{-x} +3 $$ |
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