If a2 - bc = α, b2 - ac = β, c2 - ab = γ, then what is \frac{a\alpha + b\beta + c\gamma }{(a + b + c)(\alpha + \beta + \gamma )} equal to ?

UPSC CDS 2 2023 Math Paper

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If a2 - bc = α, b2 - ac = β, c2 - ab = γ, then what is ‌

aα‌‌+‌bβ‌‌+‌cγ‌

(a‌+‌b‌+‌c)(α‌‌+‌β‌‌+‌γ‌)

equal to ?

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