KöMaL 2006 C854

Prove that the following equality is true for every positive integer $n$ : $\frac{1^3+3^3+5^3+\ldots+ {(2n-1)}^3}{1+3+5+\ldots+(2n-1)}= 2n^2-1.$

Official text KöMaL. Quoted with source.

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