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利用立方和公式a³;+b³;=(a+b)(a²;-ab+b²;)=(a+b)[(a+b)²;-3ab]即可解答出本題 x³;+x^-3 =(x+x^-1)(x^2-1+x^-2) =(x+x^-1)[(x+x^-1)²;-3] =3×[3²;-3] =3×6 =18
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