Question
Answer
$$-5g^2-(8g-12^2+7)+2g=-5g^2-6g+137$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5g^2-(8g-12^2+7)+2g& \xlongequal{ }-5g^2-(8g-144+7)+2g \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5g^2-(8g-137)+2g \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5g^2-8g+137+2g \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-5g^2-6g+137\end{aligned} $$ | |
| ① | Combine like terms: $$ 8g \color{blue}{-144} + \color{blue}{7} = 8g \color{blue}{-137} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8g-137 \right) = -8g+137 $$ |
| ③ | Combine like terms: $$ -5g^2 \color{blue}{-8g} +137+ \color{blue}{2g} = -5g^2 \color{blue}{-6g} +137 $$ |
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