Answer
$$-3+6i-(-5-3i)-8i=i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3+6i-(-5-3i)-8i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3+6i+5+3i-8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}i+2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5-3i \right) = 5+3i $$ |
| ② | Combine like terms: $$ \color{blue}{-3} + \color{red}{6i} + \color{blue}{5} + \color{green}{3i} \color{green}{-8i} = \color{green}{i} + \color{blue}{2} $$ |
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