"Spoooooooky" Russian rational expressions 31

Algebra Level 2

\[ \large \dfrac{8-N^3}{N+2} \div \left( 2 + \dfrac{N^2}{N+2} \right) - \dfrac{N^2}{N-2}\cdot \dfrac{4-N^2}{N^2 + 2N} = \, ? \]

Evaluate the above when \( N = 2016 \).


Credits: My Honors Trig teacher's Russian book.
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