Question

Factorize:

$\left(x^2+\frac{1}{x^2}\right)-4\left(x+\frac{1}{x}\right)+6$

Answer 1

The given expression to be factorized is

We have

Use the above result in the original expression to get

Substituting in the above , we get

Put.

We cannot further factorize the expression.

So, the required factorization of is.