Question

factorize :
x²+1/x²-2-3x+3/x​

Answer 1

$\huge\rm\color{red}{here\:it\:goes}$$\downarrow{}$

$\begin{gathered} {x}^{2} + \frac{1}{ {x}^{2} } - 2 - 3x + \frac{1}{3x} \\ \\ \\ \: \: {x}^{2} + \frac{1}{ {x}^{2} } - 2(x \times \frac{1}{x} ) - 3(x - \frac{1}{x} ) \\ \\ \\ {(x - \frac{1}{x}) }^{2} - 3(x - \frac{1}{x} ) \\ \\ \\ (x - \frac{1}{x} )(x - \frac{1}{x} - 3)\end{gathered}$

Thankyou :)