If are the roots of the equation

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α,β\alpha,\beta are the roots of the equation 3x2+2x+1=03x^2+2x+1=0, find the value of (1−α1+α)3+(1−β1+β)3\left(\frac{1-\alpha}{1+\alpha}\right)^3+\left(\frac{1-\beta}{1+\beta}\right)^3.

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