If `((1+i)/(1-i))^3-((1-i)/(1+i))^3=x+i y , fin d (x , y)` – InterviewSolution

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1.	If `((1+i)/(1-i))^3-((1-i)/(1+i))^3=x+i y , fin d (x , y)`
Answer» Correct Answer - `x = 0, y = -2` `((1+i)/(1-i))=((1+i))/((1-i))xx((1+i))/((1+i))=((1+i)^(2))/(2)=((1+i^(2)+2i))/(2)=(2i)/(2)=i`. Similarly, `((1-i)/(1+i)) = -i`. Given expression `= i^(3) -(-i)^(3) = 2i^(3) = -2i^(3) = -2i = 0 + (-2)i`.

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