I'm familiar with the cover up method of dealing with partial fractions. That being said, this is what I'm looking at:

$\displaystyle \frac{1 - v}{(v+1)^2} $

Obviously, the cover up method won't work here, as we would end up with a zero in the denominator.

So, how is something like this handled? Looking elsewhere, I see some very drawn out methods using matrices - is there not a simple way to address a problem like this?