An algebra problem by Julian Yu

Algebra Level 3

If \(x=\sqrt { 2013-yz } ,\quad y=\sqrt { 2014-xz } \) and \(z=\sqrt { 2015-xy } \), find the value of:

\({ (x+y) }^{ 2 }+{ (y+z) }^{ 2 }+{ (x+z) }^{ 2 }\)

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