Question -
Answer -
Given:
[(1+i)/(1-i)]3 –[(1-i)/(1+i)]3 = x + iy
Let us rationalize thedenominator, we get
i3–(-i)3 =x + iy
2i3 =x + iy
2i2.i = x +iy
2(-1)I = x + iy
-2i = x + iy
Equating Real andImaginary parts on both sides we get
x = 0 and y = -2
∴ The values of xand y are 0 and -2.