# Russianal expressions 2015

Algebra Level 3

The result of evaluating $$\displaystyle\left ( \dfrac{\dfrac{x^{3}-1}{x+1}\cdot\dfrac{x}{x^{3}+1}}{\dfrac{(x+1)^{2}-x}{(x-1)^{2}+x}\cdot\left (1-\dfrac{1}{x}\right )} \right )^{\dfrac{-1}{2}}$$ at $$x = 2015$$ can be represented in the form $$\displaystyle\dfrac{a}{b}$$, where a and b only share the factor 1. What is $$a+b$$?

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