problem of splitting into real and imaginary parts

if u+iv = (x +iy) ^3 , show that (u/x) + (v/y) = 4( x² -y² )

first expand (x +iy) ^3 using binomial expansion or identity and then split into real and imaginary parts then manipulate


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real and imaginary parts of ln(x+iy)

find the real and imaginary parts of ln(x+iy) or logarithm of a complex number,
first express x+iy in modulus amplitude form
then take log

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basic result of complex number for plus two student

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