Answer
$$2x^2-x^4-(4x^4-x^2)=-5x^4+3x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x^2-x^4-(4x^4-x^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x^2-x^4-4x^4+x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5x^4+3x^2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4x^4-x^2 \right) = -4x^4+x^2 $$ |
| ② | Combine like terms: $$ \color{blue}{2x^2} \color{red}{-x^4} \color{red}{-4x^4} + \color{blue}{x^2} = \color{red}{-5x^4} + \color{blue}{3x^2} $$ |
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