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