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