Question
Answer
$$2x^2+7-(-8x^2+7)=10x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x^2+7-(-8x^2+7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x^2+7+8x^2-7 \xlongequal{ } \\[1 em] & \xlongequal{ }2x^2+ \cancel{7}+8x^2 -\cancel{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10x^2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -8x^2+7 \right) = 8x^2-7 $$ |
| ② | Combine like terms: $$ \color{blue}{2x^2} + \, \color{red}{ \cancel{7}} \,+ \color{blue}{8x^2} \, \color{red}{ -\cancel{7}} \, = \color{blue}{10x^2} $$ |
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