Выполните действие! 1) (2х-y2x+y-2x+y2x-y):4xyy^2-4x^2)

[latex]( frac{2x-y}{2x+y}- frac{2x+y}{2x-y}): frac{4xy}{y^2-4x^2} = frac{(2x-y)(2x-y)-(2x+y)(2x+y)}{(2x+y)(2x-y)}* frac{y^2-4x^2}{4xy}=[/latex][latex]-frac{(2x-y)^2-(2x+y)^2}{(2x+y)(2x-y)}* frac{4x^2-y^2}{4xy}=[/latex][latex]-frac{((2x-y)+(2x+y))((2x-y)-(2x+y))}{(2x+y)(2x-y)}* frac{(2x-y)(2x+y)}{4xy}=[/latex][latex]-frac{(2x-y+2x+y)(2x-y-2x-y))}{1}* frac{1}{4xy}=-frac{4x*(-2y)}{1}* frac{1}{4xy}=frac{8xy}{4xy}=2[/latex]