If α, β are the roots of x² + px – q = 0 and γ, δ are the roots of x² – px + r = 0 then what is (β + γ)(β + δ) equal to ? - NDA Mathematics 2012 (II)

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