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Let aaa, bbb and ccc be roots of the polynomial P(x)=x3−2x2+3x−4P(x)=x^3-2x^2+3x-4P(x)=x3−2x2+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).(a+a1)(b+b1)(c+c1).
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