But 2016 isn't here yet!

Algebra Level 3

Evaluate the expression \( \displaystyle \large{\frac{2016^{4}+2016^{2}+1}{2016^{3}+1}} \).

If the answer can be expressed as a mixed fraction in simplest form \(\displaystyle a \frac{b}{c} \), find \(a+b+c\)

Solve this problem without using a calculator.

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