Category:Examples of Use of Sum of Two Odd Powers

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This category contains examples of use of Sum of Two Odd Powers.

Let $\F$ be one of the standard number systems, that is $\Z, \Q, \R$ and so on.

Let $n \in \Z_{\ge 0}$ be a positive integer.


\(\ds a^{2 n + 1} + b^{2 n + 1}\) \(=\) \(\ds \paren {a + b} \sum_{j \mathop = 0}^{2 n} \paren {-1}^j a^{2 n - j} b^j\)
\(\ds \) \(=\) \(\ds \paren {a + b} \paren {a^{2 n} - a^{2 n - 1} b + a^{2 n - 2} b^2 - \dotsb - a b^{2 n - 1} + b^{2 n} }\)


This category has only the following subcategory.


Pages in category "Examples of Use of Sum of Two Odd Powers"

The following 3 pages are in this category, out of 3 total.