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  • The difference between an integer and its cube is divisible by    Option: 1 4Option: 2</

The difference between an integer and its cube is divisible by    

Option: 1

4


Option: 2

6


Option: 3

9


Option: 4

None of these


Answers (1)

best_answer

Let the number is x. 

Then x-x^3=x\left(1-x^2\right)=(1-x)(x)(1+x)

According to Langrange's theorem it is divisible by 3! i.e., 6.
 

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rishi.raj

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