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