# An algebra problem by Krishna Sharma

Algebra Level 5

Given that the sum of the maximum and minimum value of

$\frac{x^4}{x^8+2x^6-4x^4+8x^2+16}$

can be expressed in the form $$\frac{p}{q}$$, where $$p$$ and $$q$$ are coprime, positive integers, find the value of $$p+q$$.

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