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using properties of determinates, prove...

using properties of determinates, prove that : `|(1,1,1),(a,b,c),(a^(3),b^(3) ,c^(3))| = (a - b) ( b - c) ( c - a) (a + b + c)`

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By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^3,b^3,c^3]| = (a-b)(b-c)(c-a)(a+b+c)

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