xy+yz+zx=?[a^x=b^y=c^z abc=1]
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Let a=K^1/x,b=K^1/y,c=K^1/z
a*b*c=1
K^1/x*K^1/y*K^1/z=1
K^xy+yz+xz/xyz=1
xy+yz+zx=0
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