Hi
When I try to decompose: (x + 1) / ((x + 2)^2)
I end up with: x + 1 = A(x + 2)^2 + B(x + 2)
this ends up with A = 1/2, B = - 1/2, so the answer seemingly should be:
1/2(x + 2) - 1/2(x + 2)^2
This doesn't make sense however as the result when these terms are added back is
(x + 1) / 2(x + 2)^2 rather than (x + 1) / (x + 2)^2
Can someone explain the result to me\
Thanks