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If ((1+i)/(1-i))^3-((1-i)/(1+i))^3=x+i y...

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

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To solve the equation \(\left(\frac{1+i}{1-i}\right)^3 - \left(\frac{1-i}{1+i}\right)^3 = x + iy\), we will simplify each term step by step. ### Step 1: Simplify \(\frac{1+i}{1-i}\) Multiply the numerator and denominator by the conjugate of the denominator: \[ \frac{1+i}{1-i} \cdot \frac{1+i}{1+i} = \frac{(1+i)(1+i)}{(1-i)(1+i)} ...
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