A) 526
B) 1154
C) 1528
D) 529
E) None of these
Correct Answer: B
Solution :
Explanation Option [b] is correct. \[{{x}^{4}}+\frac{1}{{{x}^{4}}}={{\left( {{x}^{2}} \right)}^{2}}+{{\left( \frac{1}{{{x}^{2}}} \right)}^{2}}={{\left\{ {{x}^{2}}+\left( \frac{1}{{{x}^{2}}} \right) \right\}}^{2}}-2\times {{x}^{2}}\times \frac{1}{{{x}^{2}}}\] \[={{\left\{ {{\left( x+\frac{1}{{{x}^{2}}} \right)}^{2}}-2\times x\times \frac{1}{x} \right\}}^{2}}-2={{\left\{ {{6}^{2}}-2 \right\}}^{2}}-2={{\left\{ 36-2 \right\}}^{2}}-2={{\left\{ 34 \right\}}^{2}}-2=1154\]
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