Problem No. 46

Algebra Level 3

If x=2013yz,y=2014zxx=\sqrt{2013-yz}, y=\sqrt{2014-zx} and z=2015xy,z=\sqrt{2015-xy}, find (x+y)2+(y+z)2+(z+x)2(x+y)^{2}+(y+z)^{2}+(z+x)^{2}

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