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Number of terms in the expansion of [(x+1x)2−(x−1x)2]1007{[(x+\dfrac{1}{x})^{2}-(x-\dfrac{1}{x})^{2}]}^{1007} is ...

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[(x+1x)2−(x+1x)2]1007\left [ \left (x+\dfrac {1}{x} \right)^2-\left (x+\dfrac {1}{x} \right)^2 \right]^{1007}
⇒ [x2+1x2+2−(x2+1x2−2)]1007\Rightarrow \ \left [x^2+\dfrac {1}{x^2}+2-\left (x^2+\dfrac {1}{x^2}-2 \right) \right]^{1007}
⇒ (x2+1x2−x2−1x2+2+2)1007\Rightarrow \ \left (x^2+\dfrac {1}{x^2}-x^2-\dfrac {1}{x^2} +2+2\right)^{1007}
x2+1x241007x^2+\dfrac {1}{x^2}4^{1007}
x2+1x2x^2+\dfrac {1}{x^2} No. of term :1:1 Option CC is correct

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