Factorize the following expression : \(\left(x^2 + \frac{1}{x^2}\right) – 4\left(x + \frac{1}{x}\right) + 6\)

\[ \left(x^2 + \frac{1}{x^2}\right) – 4\left(x + \frac{1}{x}\right) + 6 \] \[ = \left(x + \frac{1}{x}\right)^2 – 2 – 4\left(x + \frac{1}{x}\right) + 6 \] \[ = \left(x + \frac{1}{x}\right)^2 – 4\left(x + \frac{1}{x}\right) + 4 \] \[ = \left[\left(x + \frac{1}{x}\right) – 2\right]^2 \]