question_answer

The value of \[\left( {{x}^{\frac{1}{8}}}+{{x}^{\frac{-1}{8}}} \right)\left( {{x}^{\frac{1}{8}}}-{{x}^{\frac{-1}{8}}} \right)\]\[\left( {{x}^{\frac{1}{4}}}+{{x}^{\frac{-1}{4}}} \right)\left( {{x}^{\frac{1}{2}}}-{{x}^{\frac{-1}{2}}} \right)\] is:

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

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

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

D) \[\left( {{x}^{3}}+\frac{1}{{{x}^{3}}} \right)\]

E) None of these