Question

Factorise: x^2+1/x^2+2-2x-2/X

Answer 1

${x}^{2} + \frac{1}{ {x}^{2} } + 2 - 2x - \frac{2}{x} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} - 2(x + \frac{1}{x} ) \\ {(x + \frac{1}{x} )}^{2} - 2(x + \frac{1}{x} ) \\ (x + \frac{1}{x} )( x + \frac{1}{x} - 2)$