Divide.
-$\frac { 1 + i } { 1 - i }$
A)2 + 2i
B)-2 + 2i
C)Undefined
D)i

Name: Divide. -$\frac { 1 + i } { 1 - i }$ A)2 + 2i B)-2 + 2i C)Undefined D)i
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Question

Quizplus · Accepted Answer

To divide complex numbers, you multiply the numerator and denominator by the conjugate of the denominator. Here, the conjugate of $1 - i$ is $1 + i$. So, $\frac{1 + i}{1 - i} \cdot \frac{1 + i}{1 + i} = \frac{(1 + i)^2}{1^2 - (-i)^2} = \frac{1 + 2i + i^2}{1 - (-1)} = \frac{1 + 2i - 1}{2} = \frac{2i}{2} = i$.

Divide - 1+i1−i\frac { 1 + i } { 1 - i }1−i1+i​

Divide
- $\frac { 1 + i } { 1 - i }$