2016 is coming!

Algebra Level 5

\[ x^{2016} + x^{2015} + \cdots + x + 1\]

If \(x_{1}, x_{2}, x_{3}, \ldots , x_{2016}\) are the roots of the expression above, find the value of

\[\displaystyle\sum_{i=1}^{2016}\frac{1}{(1 - x_{i})^2}.\]


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