Question

factorise= x^2+1/x^2-2-3x+3/x
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Answer 1

$(x - \frac{1}{x} )(x - \frac{1}{x} - 3)$

FACTORIZATION

${x}^{2} + \frac{1}{ {x}^{2} } - 2 - 3x + \frac{3}{x}$

$=( {x}^{2} + {( \frac{1}{x} )}^{2} - 2.x. \frac{1}{x} ) - 3(x - \frac{1}{x} )$

$= {(x - \frac{1}{x} )}^{2} - 3(x - \frac{1}{x} )$

$=(x - \frac{1}{x} )(x - \frac{1}{x} - 3)$