If 1-i1-i3-1-i1-i3-x-iy- find x and y

(1+i1 i) =(1+i)(1 i)×(1+i)(1+i) =(1+i)^22 =(1+i^2 +2i)2 =2i2=i Similarity, (1 i1+i)= i Given expression =i^3 ( i)^3 =2i^3 = 2i=0+ ...

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Algebraic Identity (a-b)^3

If 1+i1+i3-...

Question

If ${(\frac{1 + i}{1 + i})}^{3} - {(\frac{1 - i}{1 + i})}^{3} = x + i y$ , find $x$ and $y$

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$If {(\frac{1 + i}{1 - i})}^{3} - {(\frac{1 - i}{1 + i})}^{3} = x + i y, find (x,y)$

{(\frac{1 + i}{1 - i})}^{3} - {(\frac{1 - i}{1 + i})}^{3} = x + i y

(x + i y) (2 - 3 i) = 4 + i

(3 x - 2 i y) (2 + i)^{2} = 10 (1 + i)

\frac{(1 + i) x - 2 i}{3 + i} + \frac{(2 - 3 i) y + i}{3 - i}

(1 + i) (x + i y) = 2 - 5 i

\frac{{(1 + i)}^{2}}{2 - i} = x + i y

$If \frac{(1 + i)^{2}}{2 - i} = x + i y, find x + y .$

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