"Spoooooooky" Russian rational expressions 5

Algebra Level pending

\[ \mathscr{E} = \left( \dfrac{2m+1}{2m-1} - \dfrac{2m-1}{2m+1}\right) \div \dfrac{4m}{10m-5} \]

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


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