If \( (x+i y)^{3}=(u+i v) \) then prove that \( \left(\frac{u}{x}+\frac{v}{y}\right)=4\left(x^{2...

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If \( (x+i y)^{3}=(u+i v) \) then prove that \( \left(\frac{u}{x}+\frac{v}{y}\right)=4\left(x^{2}-y^{2}\right) \).
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