POWER OF 4

Algebra Level 3

\[If\\ x+y+z=4,\\ { x }^{ 2 }+{ y }^{ 2 }+{ z }^{ 2 }=10,\\ { x }^{ 3 }+{ y }^{ 3 }+{ z }^{ 3 }=25\] \[then find \\\\ { x }^{ 4 }+{ y }^{ 4 }+{ z }^{ 4 }=?\]

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