If , where , then show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If (x+iy)1/3=a+ib(x+i y)^{1 / 3}=a+i b, where x,y,a,b∈Rx, y, a, b \in \mathbb{R}, then show that xa−yb=−2(a2+b2)\frac{x}{a}-\frac{y}{b}=-2\left(a^{2}+b^{2}\right).

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