Answer
$$12x^4+4x^2-(2x^2-6x^4)=18x^4+2x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}12x^4+4x^2-(2x^2-6x^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12x^4+4x^2-2x^2+6x^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}18x^4+2x^2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x^2-6x^4 \right) = -2x^2+6x^4 $$ |
| ② | Combine like terms: $$ \color{blue}{12x^4} + \color{red}{4x^2} \color{red}{-2x^2} + \color{blue}{6x^4} = \color{blue}{18x^4} + \color{red}{2x^2} $$ |
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