Question

Fractional Decomposition 1/(x^3(x+1))

Answer 1

skipping some steps
1=Ax^2(x+1)+Bx(X+1)+C(x+1)+Dx

Answer 2

substitue x=0 get C=1 and x=-1 get D=-1

Answer 3

the problem is I can't get A and B right Im getting they should be zero cause if I compare coefficients
Ax^3+(A+B)x^2+(C+B+D)x+C

Answer 4

A and B should be zero but using wolframalpha I get that they are not zero

Answer 5

both A and B are non zeroes?

Answer 6

http://www.wolframalpha.com/widgets/view.jsp?id=ec4a062bb304f88c2ba0b631d7acabbc

Answer 7

oh I see what I did wrong

Answer 8

the top equation should be
1=Ax^2(x+1)+Bx(X+1)+C(x+1)+Dx^3 not Dx

Answer 9

yeah

Answer 10

i didnt see that too