Divide.
-$\frac { 1 + i } { - 1 - i }$
A)1
B)- i
C)0
D)-1

Question

Quizplus · Accepted Answer

To divide complex numbers, multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of $-1 - i$ is $-1 + i$. Multiplying both the numerator and the denominator by $-1 + i$ gives: $\frac{(1+i)(-1+i)}{(-1-i)(-1+i)}$. Simplifying the numerator: $(1+i)(-1+i) = -1 + i - i - i^2 = -1 + 1 + i = i$. Simplifying the denominator: $(-1-i)(-1+i) = 1 + i - i - i^2 = 1 + 1 = 2$. So, the division becomes $\frac{i}{2}$, which simplifies to $-1$.

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

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