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Algebra Difficulty 4.7 AIME Find the answer

If (a+1a)2=3\left(a+\frac{1}{a}\right)^{2}=3, find (a+1a)3\left(a+\frac{1}{a}\right)^{3} in terms of aa.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

0.

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