Question

Express x^2+1/(x-1)(x+1)^3 in partial fraction(EXAMPLE)

Answer 1

Solution:
x^2+1=A(x+1)^3+b(x-1)(x+1)^2+c(x-1)(x+1)+D(x-1)
When x=1, 2=8A
A=1/4
When x=-1,2=-2D
D=-1

Answer 2

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