作业帮x-y/x²÷x²-2xy+y²/xy*（xy-x²）
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 08:22:46
x-y/x²÷x²-2xy+y²/xy*（xy-x²）
x-y/x²÷x²-2xy+y²/xy*（xy-x²）
x-y/x²÷x²-2xy+y²/xy*（xy-x²）
(x-y)/x²÷(x²-2xy+y²)/xy×(xy-x²)=(x-y)/x²÷(x+y)²/xy×x(y-x)=(x-y)²/x²×xy/(x+y)²×x(y-x)=-(x-y)³/(x+y)²
x-y/x²÷x²-2xy+y²/xy*（xy-x²）
=x-y/x²×xy*（xy-x²）/(x-y)^2
=(x-y)/x^2×x^2y(y-x)/(x-y)^2
=-y