Mathematics

Mathematics

Problem

Prove that ∣α+β+γ+δαβ(γ+δ)+γδ(α+β)2(α+β)(γ+δ)αβ+γδ∣=0\begin{vmatrix} \alpha+\beta+\gamma+\delta & \alpha\beta(\gamma+\delta)+\gamma\delta(\alpha+\beta) \\ 2(\alpha+\beta)(\gamma+\delta) & \alpha\beta+\gamma\delta \end{vmatrix} = 0

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