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