question_answer

What are the factors of\[{{x}^{3}}+{{x}^{2}}-\frac{1}{{{x}^{2}}}+\frac{1}{{{x}^{3}}}\]?

A)  \[\left( {{x}^{2}}+1 \right)\left( x+\frac{1}{x}-1+\frac{1}{{{x}^{2}}} \right)\]

B)  \[\left( x+1 \right)\left( {{x}^{2}}+\frac{1}{{{x}^{2}}}-1+\frac{1}{x}-x \right)\]

C)  \[\left( x+\frac{1}{x} \right)\left( {{x}^{2}}+x-1-\frac{1}{x}+\frac{1}{{{x}^{2}}} \right)\]

D)  \[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\left( x+\frac{1}{x}-1 \right)\]