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If x=a+b,y=b+c,z=c+a , prove that (x+y+z...

If `x=a+b,y=b+c,z=c+a` , prove that `(x+y+z)xx{x^(2)+y^(2)+z^(2)-xy-yz-zx}=2(a^(3)+b^(3)+c^(3)-3abc)`

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