Answer
$$1-2i+\frac{-0.5i}{1+0.5i}=-2i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}1-2i+\frac{-0.5i}{1+0.5i}& \xlongequal{ }1-2i+\frac{-0.5i}{1+0i} \xlongequal{ } \\[1 em] & \xlongequal{ }1-2i+\frac{-0i}{1+0i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1-2i+0 \xlongequal{ } \\[1 em] & \xlongequal{ }1-2i0 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2i+1\end{aligned} $$ | |
| ① | Divide $ \, 0 \, $ by $ \, 1 \, $ to get $\,\, 0 $. ( view steps ) |
| ② | Combine like terms: $$ \color{blue}{1} -2i \color{blue}{0} = -2i+ \color{blue}{1} $$ |
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