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Algebra Level 2

If aa and bb are non-zero real numbers, simplify: (a+1a)2+(b+1b)2+(ab+1ab)2(a+1a)(b+1b)(ab+1ab)\left(a + \frac1a\right)^2+\left(b + \frac1b\right)^2 + \left(ab + \frac1{ab}\right)^2 \\ - \left(a + \frac1a\right)\left(b + \frac1b\right)\left(ab + \frac1{ab}\right)

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