Сократите дробь x3-1делить(x-1)2

(x^3 - 1)/(x-1)^2 = (x-1)(x^2-x+1)/(x-1)*(x-1) = (x^2-x+1)/(x-1) = [(x^2 - 1) - (x - 2)]/(x-1) = (x+1) - [(x-1) - 1]/(x-1) = x+1- 1 - 1/(x-1) = x - 1/(x-1)