If \( (x+i y)^{1 / 3}=a+b i \), then prove that \( 4\left(a^{2}-b^{2}\right)=\frac{x}{a}+\frac{y...

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If \( (x+i y)^{1 / 3}=a+b i \), then prove that \( 4\left(a^{2}-b^{2}\right)=\frac{x}{a}+\frac{y}{b} \).
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