1.

Factorize \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2-2x-\frac{2}{x}\]

A. \[\left( x+\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\]
B. \[\left( x-\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\]
C. \[\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}+2 \right)\]
D. \[\left( x+\frac{1}{x} \right)\left( x-\frac{1}{x}+2 \right)\]
Answer» B. \[\left( x-\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\]


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