If are the roots of the cubic equation

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α,β,γ\alpha,\beta,\gamma are the roots of the cubic equation x3+qx+r=0x^3+qx+r=0, find the equation whose roots are (α−β)2(\alpha-\beta)^2, (β−γ)2(\beta-\gamma)^2, and (γ−α)2(\gamma-\alpha)^2.

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