X And Y Flying About

Algebra Level 3

\[\dfrac {x^{4}+y^{4}}{x^{4}-y^{4}} + \dfrac {x^{4}-y^{4}}{x^{4}+y^{4}}\]

If \(\dfrac {x+y}{x-y} + \dfrac {x-y}{x+y} = 1,\) then the value of the expression above can be expressed as \(\dfrac {a}{b}\), where \(a\) and \(b\) are coprime positive integers.

What is the value of \(a+b\)?

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