Natali Belska
Гений
(69463)
2 недели назад
(3x^2 - 8y^2)/(x^2 - 2xy) - (3xy - x^2)/(xy - 2y^2) =
= (3x^2 - 8y^2)/x*(x - 2y) - x*(3y - x)/y*(x - 2y) =
= [y*(3x^2 - 8y^2) - x^2*(3y - x)] / xy*(x - 2y) =
= (3x^2*y - 8y^3 - 3x^2*y + x^3) / xy*(x - 2y) =
= (x^3 - (2y)^3) / xy*(x - 2y) =
= (x - 2y)(x^2 + 2xy + 4y^2) / xy*(x - 2y) =
= (x^2 + 2xy + 4y^2) / xy