Partial fraction decomposition over reals

proy87
47 ●4 ●6

Hello. I'm trying to find partial fraction decomposition of 1/(x**2-2*b**2) I use f.partial_fraction(var), but I don't get the result.

How can I get an exact answer over the reals in general case?

1 Answer

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Emmanuel Charpentier
7774 ●6 ●51 ●154

Well...

sage: 1/product([(x-u[0])^u[1] for u in (x**2-2*b**2).roots(x=x)])
-1/((sqrt(2)*b + x)*(sqrt(2)*b - x))

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Asked: 2019-12-29 19:52:42 +0100

Seen: 297 times

Last updated: Dec 30 '19