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The determinant |{:(b^2-ab,b-c,bc-ac),(a...

The determinant `|{:(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2):}|` equals …….

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The correct Answer is:
`1/2(a^3+b^3+c^3-3abc)[(a-b)^2+(b-c)^2+(c-a)^2]`
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