Using the properties of determinants prove that ⎡⎢⎣αα2β+γβ – InterviewSolution

1.	Using the properties of determinants prove that ⎡⎢⎣αα2β+γββ2γ+αγγ2α+β⎤⎥⎦=(α−β)(β−γ)(γ−α)(α+β+γ)
Answer» Using the properties of determinants prove that $⎡ ⎢ ⎣ \begin{matrix} α & α^{2} & β + γ β & β^{2} & γ + α γ & γ^{2} & α + β \end{matrix} ⎤ ⎥ ⎦ = (α - β) (β - γ) (γ - α) (α + β + γ)$

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