"Spoooooooky" Russian rational expressions 5

Algebra Level pending

E=(2m+12m12m12m+1)÷4m10m5 \mathscr{E} = \left( \dfrac{2m+1}{2m-1} - \dfrac{2m-1}{2m+1}\right) \div \dfrac{4m}{10m-5}

Let m=2016 m = 2016 . If the value of E \mathscr{E} can be represented in the form ab \dfrac{a}{b} , where aa and bb are coprime positive integers. Find a+ba+b.


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