1/x^2+1/y^2+1/z^2=1/xy+1/yz+1/zx
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1/x^2+1/y^2+1/z^2=y^2z2+x^2z^2+x^2y^2/x^2y^2z^2=yz+zx+xy/xyz=yz/xyz+zx/xyz+xy/xyz=1/xy+1/yz+1/zx
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