Question
Answer
$$-5g^2-(8g-12g^2+7)+2g=7g^2-6g-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5g^2-(8g-12g^2+7)+2g& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5g^2-8g+12g^2-7+2g \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7g^2-6g-7\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8g-12g^2+7 \right) = -8g+12g^2-7 $$ |
| ② | Combine like terms: $$ \color{blue}{-5g^2} \color{red}{-8g} + \color{blue}{12g^2} -7+ \color{red}{2g} = \color{blue}{7g^2} \color{red}{-6g} -7 $$ |
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