Question 37452
From
(3x / x-1) - (x-4 / x^2-2x+1) =
(3x / x-1) - (x-4 / (x-1)^2) =
(3x(x-1) / (x-1)^2) - ((x-4) / (x-1)^2) =
[3x(x-1) - (x-4)] / (x-1)^2 =
though this is in factored form, we can go on...
(3x^2 - 3x - x + 4) / (x-1)^2 =
(3x^2 - 4x + 4)  / (x-1)^2