IN THE PARTIAL FRACTION DECOMPOSITION of x^2/(x-1)^2 (x+1)^2 the format is as follows:
Multiply through by the LCD:
I let x = 1
and got B= 1/4 (which is correct) THEN let x=-1 to get D= 1/4
Am stuck at this point Can not get A or C
Go back to:
Substitute the values you got for B and D
Clear of fractions:
Substitute some number you haven't substituted before.
(Note: You don't have to just substitute numbers that make terms equal to zero.
You can substitute ANY number for x and it will always give a true equation,
even if none of the terms become 0. So the easiest number you haven't
substituted is x=0.
The next easiest number you haven't substituted is x=2
Solve the system of equations:
Get ,
That's how you do it. If you run out of numbers to substitute for x that
cause terms to be 0, substitute some numbers that DON'T cause any terms
to be 0, and solve a system of equations. Any numbers will do. I just
picked the next easiest numbers x=0 and x=2.
Edwin