The partial fraction of `(1)/(x^(2)-1)`

If (f(x))/(x^(2)-x+1)-(1)/(f(x)) is the partial fraction of (3x)/(x^(3)+1) , then f(x) is__________.

The partial fraction of (2(x^(2)+1))/(x^(3)-1) is (1)/(x-1)-(f(x))/(g(x)) . Then the degree of f(x) is _________.

The number of partial fractions of (2x+3)/((x^(2))(x^(2)-1))

Find the partial fractions of (2x+3)/(x^(4)+x^(2)+1) .

The number of terms of the partial fraction of (x^(3))/((x-1)(2x-3)(x-4)) is _________.

Find the partial fractions of (ax+b)/((x-1)^(2)) , where a and b are constants.