# "Spoooooooky" Russian rational expressions 10

Algebra Level pending

$\mathscr{E} = (a^2 + 2a + 1) \left( \dfrac{1}{a+1} + \dfrac{1}{a^2 -1} - \dfrac{1}{a-1}\right)$

Let $$a = 2016$$. If $$\mathscr{E}$$ can be expressed in the form $$- \dfrac{x}{y}$$, where $$x$$ and $$y$$ are coprime positive integers, find $$x+y$$.

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