Prove that for any integer n, n(n^2-1)(n+2) is divisible by 4.
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Let S = n(n^2-1)(n+2)

Show S(1) is divisible by 4.

1(1-1)(3) = 0. 0 is divisible by 4.

Show S(n+1) is divisible by 4.

S(n+1)

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Show S(1) is divisible by 4.

1(1-1)(3) = 0. 0 is divisible by 4.

Show S(n+1) is divisible by 4.

S(n+1)

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