An algebra problem by megh choksi

Algebra Level 4

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

such that x,y,z are integers

then find the value of \(\frac {(x^{5} + y^{8} + z^{10})}{ 1 + x^{3001} +y + 28z }\)

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