Руслан7 лет назад
Приведем выражение х^2/(x - y)^2 - (x - y)/(2 * x - 2 * y) к общей дроби.
х^2/(x - y)^2 - (x - y)/(2 * x - 2 * y) = х^2/(x - y)^2 - (x - y)/(2 * (x - y)) = (x^2 * 2 - (x - y) * 2 * (x - y))/(2 * (x - y)^2) = (2 * x^2 - 2 * (x - y) * (x - y))/(2 * (x - y)^2) = (2 * x^2 - 2 * (x^2 - y^2))/(2 * (x - y)^2) = (2 * x^2 - 2 * x^2 + 2 * y^2)/(2 * (x - y)^2) = 2 * y^2/(2 * (x - y)^2 = y^2/(x - y)^2;
Ответ: y^2/(x - y)^2.