How do I use partial fraction decomposition on the following:

(-2x + 4)/( (x^2 + 1)*(x-1)^2 )

I've gotten as far as

-2x + 4 = A(x-1)^2 + B(x^2 + 1)(x-1) + (Cx+D)(x^2+1)

I sub in 1 for x and get

2 = (C + D)*2

now what? I have no idea how to progress from here

Question

How do I use partial fraction decomposition on the following:

(-2x + 4)/( (x^2 + 1)*(x-1)^2 )

I've gotten as far as

-2x + 4 = A(x-1)^2 + B(x^2 + 1)(x-1) + (Cx+D)(x^2+1)

I sub in 1 for x and get

2 = (C + D)*2

now what? I have no idea how to progress from here

anonymous · Answer

just in case, here's the image

anonymous · Answer

Did I, start the problem wrong?

anonymous · Answer

nvm, got it, I started the problem wrong