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Partial fraction decomposition of $\frac{1}{x^{2n}+a^{2n}}$
I came across a formula for the partial fraction decomposition of $ \displaystyle \frac{1}{x^{2n}+a^{2n}}$.
It seems correct (at least for $n=1,2$, and $3$).
But how is it derived?
$$\frac{1}{x^{...
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