Answer
$$-11+4i-(1-5i)=9i-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-11+4i-(1-5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-11+4i-1+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9i-12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 1-5i \right) = -1+5i $$ |
| ② | Combine like terms: $$ \color{blue}{-11} + \color{red}{4i} \color{blue}{-1} + \color{red}{5i} = \color{red}{9i} \color{blue}{-12} $$ |
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