# "Spoooooooky" Russian rational expressions 8

Algebra Level 2

$\mathscr{E} = \dfrac{1-2x}{2x+1} + \dfrac{x^2 + 3x}{4x^2 -1} \div \dfrac{3+x}{4x+2}$

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

You may use a calculator for the last step.

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