I know how to do these problems but this one is giving me some trouble:

Expand into partial fractions

5/(x+1)(x^2-1)

***Should I break it down into:

1) [A/(x+1)]+[B/(x-1)]+[C/(x+1)] or

2) [A/(x+1)]+[B/(x+1)^2]+[C/(x-1)]

I tried it both ways and came up with different possibilities for the constraints:

If Broken Down Like #1 from Above

A+B+C=0

2B = 0

A+B-C=5

If Broken Down Like #2 from Above

A+C=0

B+2C=0

A+B-C=5