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