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