Question
Answer
$$u^2-5u+7-(-3u^2+2u+6)=4u^2-7u+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}u^2-5u+7-(-3u^2+2u+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}u^2-5u+7+3u^2-2u-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4u^2-7u+1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -3u^2+2u+6 \right) = 3u^2-2u-6 $$ |
| ② | Combine like terms: $$ \color{blue}{u^2} \color{red}{-5u} + \color{green}{7} + \color{blue}{3u^2} \color{red}{-2u} \color{green}{-6} = \color{blue}{4u^2} \color{red}{-7u} + \color{green}{1} $$ |
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