1.

Factorize`x^2+(1)/(x^2)+2-2x-(2)/(x)`.

Answer» `x^2+(1)/(x^2)+2-2x-(2)/(x)=(x^2+(1)/(x^2)+2)-2(x+(1)/(x))`
`=(x+(1)/(x))^2-2(x+(1)/(x))`
` =(x+(1)/(x)) (x+(1)/(x)-2)` .


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