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answer is y8 is answer this question
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x + iy = (a + ib)^2
= a^2 + (ib)^2 + 2ab i
= a^2 + i^2b^2 + 2ab i
= a^2 - b^2 + 2ab i
on comparing real and imaginary part
x = a^2 - b^2
y = 2ab
now
x^2 + y^2 = (a^2 - b^2)^2 + (2ab)^2
= (a^2 - b^2)^2 + 4a^2b^2
= (a^2 + b^2)^2
(using identity (a+b)^2 = (a-b)^2 + 4ab)
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