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