Question

Factorise x square +2+1/x square

Answer 1

Answer:

${x}^{2} + 2 + \frac{1}{ {x}^{2} } \\ = (x + \frac{1}{x} {)}^{2} \\ = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2$

Answer 2

Answer:

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