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

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

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

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

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

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

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

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

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