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Show that |(1,a^2,a^3),(1,b^2,b^3),(1,c^...

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

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|(1,a,a^(2)+bc),(1,b,b^(2)+ac),(1,c,c^(2)+ab)|=k(a-b),(b-c), (c-a) then k =