Answer
$$-9+5i-(-3+7i)=-2i-6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9+5i-(-3+7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9+5i+3-7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2i-6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -3+7i \right) = 3-7i $$ |
| ② | Combine like terms: $$ \color{blue}{-9} + \color{red}{5i} + \color{blue}{3} \color{red}{-7i} = \color{red}{-2i} \color{blue}{-6} $$ |
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