# An algebra problem by Abhay Kumar

Algebra Level 2

$\large \dfrac{1}{1+x^{b-a}+x^{c-a}}+\dfrac{1}{1+x^{a-b}+x^{c-b}}+\dfrac{1}{1+x^{b-c}+x^{a-c}}$

If $$x,y$$ and $$z$$ are positive real number and $$a,b$$ and $$c$$ are rational numbers, then find the value of the expression above.

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