If \alpha, \beta are the roots of x^2+p x-q=0 and \gamma, \delta are roots of x^2-p x+r=0 then what is (\beta+\gamma)(\beta+\delta) equal to?

UPSC NDA 2 2012 Mathematics Paper

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If α,β are the roots of x2+px−q=0 and γ,δ are roots of x2−px+r=0 then what is (β+γ)(β+δ) equal to?

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