Question
Factorise : $x^2+\frac{1}{x^2}-11$

Answer

$\left(x-\frac{1}{x}+3\right)\left(x-\frac{1}{x}-3\right)$
[Hint. Given Exp. $=\left(x^2+\frac{1}{x^2}-2\right)-9$ ]

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