Proofs Proofs (id: 40cff1e12)

本题目来源于试卷: Proofs  Proofs ，类别为 IB数学

[问答题]
1. Show that $(2 n-1)^{3}+(2 n+1)^{3}=16 n^{3}+12 n$ for $n \in \mathbb{Z}$ .
2. Hence, or otherwise, prove that the sum of the cubes of any two consecutive odd integers is divisible by four.

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