SOLUTION: Decompose into partial fractions: x^2+1/(x+1)^3

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Question 343995: Decompose into partial fractions:
x^2+1/(x+1)^3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B1=A%28x%2B1%29%5E2%2BB%28x%2B1%29%2BC
x%5E2%2B1=A%28x%5E2%2B2x%2B1%29%2BBx%2BB%2BC
x%5E2%2B1=Ax%5E2%2B2Ax%2BA%2BBx%2BB%2BC
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1.x%5E2:A=1
2.x%5E1:2A%2BB=0
3.x%5E0:A%2BB%2BC=1
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From eq. 2,
2A%2BB=0
2%2BB=0
B=-2
From eq. 3,
1-2%2BC=1
C=2
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