Question

Show that n(n^2-1) is divisible by 24 for any odd values of n greater than 2. Brainliest if you give the right answer.

Answer 1

Answer:

Easier with congruences:

n3−n≡0mod3 for all n (that's Little Fermat's theorem),

If n is odd, n≡±1,±3mod8, so n2≡1mod8,

last, use the Chinese remainder theorem.

Hope it helps .

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