X-6y\x²-4y² - 2y\2xy-x²=

[latex]\frac{x-6y}{x^2-4y^2}-\frac{2y}{2xy-x^2}=\\=\frac{x-6y}{(x-2y)(x+2y)}+\frac{2y}{x(x-2y)}=\\=\frac{x^2-6xy+2xy+4y^2}{x(x-2y)(x+2y)}=\frac{(x-2y)^2}{x(x-2y)(x+2y)}=\\=\frac{x-2y}{x^2+2xy}[/latex]