Prove that n cube - n is divisible by 6

1.	Prove that n cube - n is divisible by 6
Answer» Let n = 1So 1^3 -1 = 0, which is divisible by 6. Let n = 2So 2^3 - 2 = 6, which is divisible by 6.Let n = 3So 3^3 - 3 = 24, which is divisible by 6.Hence proved

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