本题目来源于试卷: Binomial Theorem ，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.Consider the expansion of $\left(\frac{x^{2}}{2}+\frac{a}{x}\right)^{6}$ . The constant term is 960 . Find the possible values of a .
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