It may be complex

Algebra Level 4

Let aa, bb and cc be roots of the polynomial P(x)=x32x2+3x4P(x)=x^3-2x^2+3x-4. Determine

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

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