Answer
$$-12-7i-(-11-2i)=-5i-1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-12-7i-(-11-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-12-7i+11+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5i-1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -11-2i \right) = 11+2i $$ |
| ② | Combine like terms: $$ \color{blue}{-12} \color{red}{-7i} + \color{blue}{11} + \color{red}{2i} = \color{red}{-5i} \color{blue}{-1} $$ |
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