Factorize:
We know that,
a3 - b3 = (a - b) (a2 + a × b + b2)
Using this formula, we get
= a3 - 1/a3 – 2 (a – 1/a)
= (a – 1/a) (a2 + a × 1/a + 1/a2) – 2 (a – 1/a)
= (a – 1/a) (a2 + 1 + 1/a2 – 2)
= 
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