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prove that , |{:(a,a^2,a^3+bc),(b,b^2,b^...

prove that , `|{:(a,a^2,a^3+bc),(b,b^2,b^3+ca),(c,c^2,c^3+ab):}|=(a-b)(b-c)(c-a)(abc+bc+ca+ab)`

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The correct Answer is:
`= (a-b) (b-c) (c-a) (abc+ab+bc+ca)`
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