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Question

Solve: 2(x3+y3+z33xyz)(x+y+z)[(xy)2+(yz)2+(zx)2]

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Solution

2(x3+y3+z33xyz)(x+y+z)[(xy)2+(yz)2+(zx)2]=2(x3+y3+z33xyz)2(x+y+z)[x2+y2+z2xyyzzx]=2(x3+y3+z33xyz)2(x3+y3+z33xyz)=0

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