XYZ(2yz/x+2xz/y+2xy/z)/XYZ=(2Y^2Z^2+2X^2Y^2+2X^2Z^2)/XYZ
=(Y^2Z^2+X^2Y^2+X^2Z^2+Y^2Z^2+X^2Y^2+X^2Z^2)/XYZ
>=(2XYZ^2+2XZY^2+2YZX^2)/XYZ
=2X+2Y+2Z
2yz/x+2xz/y+2xy/z≥2x+2y+2z
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