-х(^3√3)
Пошаговое объяснение:
2х^(2/3)+ (9^(1/3)х^(5/3)-4х)/(2х^(1/3)-3^(1/3)х^(2/3))=2х^(2/3)+ х(9^(1/3)х^(2/3)-4)/(х^(1/3)(2-(3х)^(1/3))=2х^(2/3)- х^(2/3)(2^2 -(3х)^(2/3))/(2-(3х)^(1/3))=х^(2/3)(2- (2-(3х)^(1/3))(2+(3х)^(1/3))/(2-(3х)^(1/3)))=х^(2/3)(2-2-(3х)^(1/3)=х^(2/3)•(-(3х)^(1/3))=-3^(1/3)х=-х(^3√3), где
(^3√3) - кубический корень из трёх.
