Question
Answer
$$u^4-u^2(3u^2-2)=-2u^4+2u^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}u^4-u^2(3u^2-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}u^4-(3u^4-2u^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}u^4-3u^4+2u^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-2u^4+2u^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{u^2} $ by $ \left( 3u^2-2\right) $ $$ \color{blue}{u^2} \cdot \left( 3u^2-2\right) = 3u^4-2u^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3u^4-2u^2 \right) = -3u^4+2u^2 $$ |
| ③ | Combine like terms: $$ \color{blue}{u^4} \color{blue}{-3u^4} +2u^2 = \color{blue}{-2u^4} +2u^2 $$ |
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