It may be complex

Algebra Level 4

Let \(a\), \(b\) and \(c\) be roots of the polynomial \(P(x)=x^3-2x^2+3x-4\). Determine

\[\large \left(a+\dfrac{1}{a}\right)\left(b+\dfrac{1}{b}\right)\left(c+\dfrac{1}{c}\right).\]

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