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A college math problem, I just don't quite understand how the previous step can be transformed into the form of subtraction of the last three polynomials. And why is the denominator t- 1 and?
set up

1/[(t- 1)(t+ 1)^2]≡a/(t- 1)+b/(t+ 1)+c/(t+ 1)^2

= & gt

1≡a(t+ 1)^2+b(t- 1)(t+ 1)+c(t- 1)

t= 1

4A = 1

A= 1/4

t=- 1

-2C = 1

C= - 1/2

coef。 T 2

A+B=0

1/4+B=0

B=- 1/4

1/[(t- 1)(t+ 1)^2]≡( 1/4)/(t- 1)-( 1/4)/(t+ 1)-( 1/2)/(t+ 1)^2

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