A) \[{{x}^{3}}-\frac{1}{{{x}^{3}}}\]
B) \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\]
C) \[{{x}^{4}}-\frac{1}{{{x}^{4}}}\]
D) \[{{x}^{4}}+\frac{1}{{{x}^{4}}}\]
Correct Answer: C
Solution :
(c) Product= \[\left[ {{x}^{2}}-{{\left( \frac{1}{x} \right)}^{2}} \right]\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\] \[=\left( {{x}^{2}}-\frac{1}{{{x}^{2}}} \right)\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\] \[={{x}^{4}}-\frac{1}{{{x}^{4}}}\]
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