Today in class we did partial fractions. I understand the process, but I was wondering if there are any shortcuts.
For example: perhaps a shortcut way to go from to without all the stuff in between.
With a prime quadratic factor, there's no way to avoid the .I was wondering if there are any shortcuts.
Perhaps a way to go from .to .
. . without all the stuff in between.
. . But there are ways to make life a bit easier.
We have: .
. . I immediately make two fractions for the quadratic.
Clear denominators: .
. . I immediately replace with
. . Replace with
. . . . . with a minimum of pain and aggravation.