"Spoooooooky" Russian rational expressions 31

Algebra Level 3

8N3N+2÷(2+N2N+2)N2N24N2N2+2N=? \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 N = 2016 .


Credits: My Honors Trig teacher's Russian book.
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