SOLUTION: Please help me with the following problem. Find the partial function decomposition of x+2/(x+1)(x-1) Thanks

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Question 690262: Please help me with the following problem.
Find the partial function decomposition of x+2/(x+1)(x-1)
Thanks
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%2F%28%28x%2B1%29%28x-1%29%29+=+A%2F%28x%2B1%29+%2B+B%2F%28x-1%29
...
A(x-1) + B(x+1) = (x+2)
...
If x is 1
A(1-1) + B(1+1) = (1+2)
2B = 3
B = 3/2
...
If x is 0
A(0-1) + (3/2)(0+1) = (0+2)
-A + (3/2) = 2 ==> multiply by 2 to remove the fraction
-2A + 3 = 4
-2A = 4-3
-2A = 1
A = -1/2
...
highlight_green%28%28-1%2F2%29%2F%28x%2B1%29+%2B+%283%2F2%29%2F%28x-1%29%29
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