Answer
$$-5-8i-(7-4i)=-4i-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5-8i-(7-4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5-8i-7+4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4i-12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7-4i \right) = -7+4i $$ |
| ② | Combine like terms: $$ \color{blue}{-5} \color{red}{-8i} \color{blue}{-7} + \color{red}{4i} = \color{red}{-4i} \color{blue}{-12} $$ |
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