"Spoooooooky" Russian rational expressions 9

Algebra Level 2

E=(2x+1112x)÷(2x4x22x1) \mathscr{E} = \left( 2x+1 - \dfrac{1}{1-2x} \right) \div \left( 2x - \dfrac{4x^2}{2x-1} \right)

Let x=2016 x = 2016 . Find the exact value of E \mathscr{E} .


Credit: My former Trig teacher's worksheet of Russian rational expressions
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