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Question

If p = x 1/3 + x −1/3 , then p3 - 3p is equal to


A

3

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B

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C

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D

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Solution

The correct option is C


p=x1/3+x1/3p33p=(x1/3)3+(x1/3)3+3x1/3.x1/3(x1/3+x1/3)3(x1/3+x1/3)=(a+b)3=a3+b3+3ab(a+b)=x+x1+3(x1/3+x1/3)3(x1/3+x1/3)=x+x1.


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