I know how to do these problems but this one is giving me some trouble: Expand into partial fractions
$$\frac5{(x+1)(x^2-1)}$$
*Should I break it down into:
1) $\frac A{x+1}+\frac B{x-1}+\frac C{x+1}$ or
2) $\frac A{x+1}+\frac B{(x+1)^2}+\frac C{x-1}$
I tried it both ways and came up with different possibilities for the constraints:
If Broken Down Like #1 from Above $$A+B+C=0,\hspace{10pt} 2B = 0,\hspace{10pt} A+B-C=5$$
If Broken Down Like #2 from Above $$A+C=0,\hspace{10pt} B+2C=0,\hspace{10pt} A+B-C=5$$