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Show that |[a ,b ,c],[ a^2,b^2,c^2],[bc,...

Show that `|[a ,b ,c],[ a^2,b^2,c^2],[bc, ca, ab]|=|[1, 1, 1],[a^2,b^2,c^2],[a^3,b^3,c^3]|=(a-b)(b-c)(c-a)(a b+b c+c a)` .

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