计算:2x/(x^2-4y^2)+2/(2y-x)+1

问题描述:

计算:2x/(x^2-4y^2)+2/(2y-x)+1

原式=2x/(x+2y)(x-2y)-2/(x-2y)+1
=(2x-2x-4y+x²-4y²)/(x+2y)(x-2y)
=(x²-4y²-4y)/(x²-4y²)