If \alpha, \beta, \gamma are the roots of the equation x^3+a x^2+b x+c=0, then (\alpha+\beta-2 \gamma)(\beta+\gamma-2 \alpha)(\gamma+\alpha-2 \beta)= [AP EAPCET 23 May 2025 S1]

Correct Answer is : 2a3−9ab+27c

Quadratic Equations

Section: Mathematics

Question : 12 of 51

Marks: +1, -0

If α,β,γ are the roots of the equation x3+ax2+bx+c=0, then (α+β−2γ)(β+γ−2α)(γ+α−2β)=

[AP EAPCET 23 May 2025 S1]

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