Answer
$$\frac{11-7i}{1+i}-4i=-13i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{11-7i}{1+i}-4i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2-9i-4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-13i+2\end{aligned} $$ | |
| ① | Divide $ \, 11-7i \, $ by $ \, 1+i \, $ to get $\,\, 2-9i $. ( view steps ) |
| ② | Combine like terms: $$ 2 \color{blue}{-9i} \color{blue}{-4i} = \color{blue}{-13i} +2 $$ |
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