Question
Answer
$$\dfrac{1+7i}{3+i}-3i=-i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1+7i}{3+i}-3i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+2i-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-i+1\end{aligned} $$ | |
| ① | Divide $ \, 1+7i \, $ by $ \, 3+i \, $ to get $\,\, 1+2i $. ( view steps ) |
| ② | Combine like terms: $$ 1+ \color{blue}{2i} \color{blue}{-3i} = \color{blue}{-i} +1 $$ |
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