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Solution for Using Properties of Determinants, Prove That: |(Alpha, Alpha^2,Beta+Gamma),(Beta, Beta^2, Gamma+Alpha),(Gamma, Gamma^2, Alpha+Beta)| = (β – γ) (γ – α) (α – β) (α + β + γ) - CBSE (Science) Class 12 - Mathematics

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Question

Using properties of determinants, prove that:

`|(alpha, alpha^2,beta+gamma),(beta, beta^2, gamma+alpha),(gamma, gamma^2, alpha+beta)|` =  (β – γ) (γ – α) (α – β) (α + β + γ)

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Solution Using Properties of Determinants, Prove That: |(Alpha, Alpha^2,Beta+Gamma),(Beta, Beta^2, Gamma+Alpha),(Gamma, Gamma^2, Alpha+Beta)| = (β – γ) (γ – α) (α – β) (α + β + γ) Concept: Properties of Determinants.
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