Question
Answer
$$2x^2+4x-6x^2+9-(6x+3)=-4x^2-2x+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x^2+4x-6x^2+9-(6x+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4x^2+4x+9-(6x+3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4x^2+4x+9-6x-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4x^2-2x+6\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{2x^2} +4x \color{blue}{-6x^2} = \color{blue}{-4x^2} +4x $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6x+3 \right) = -6x-3 $$ |
| ③ | Combine like terms: $$ -4x^2+ \color{blue}{4x} + \color{red}{9} \color{blue}{-6x} \color{red}{-3} = -4x^2 \color{blue}{-2x} + \color{red}{6} $$ |
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