Answer
$$-12+6i-(-11+3i)=3i-1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-12+6i-(-11+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-12+6i+11-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3i-1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -11+3i \right) = 11-3i $$ |
| ② | Combine like terms: $$ \color{blue}{-12} + \color{red}{6i} + \color{blue}{11} \color{red}{-3i} = \color{red}{3i} \color{blue}{-1} $$ |
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