Find the numerical value.

Algebra Level 4

Let \(a, b, \) and \(c \) be the roots of \(x^{3}-4x-8=0\). Find the numerical value of the expression \(\frac{a+2}{a-2}+\frac{b+2}{b-2}+\frac{c+2}{c-2}\).

\(PMO2014\)

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