解:原式可整理为A=(x²+2xy+y²)/(xy-y²)÷(xy+y²)/(x²-2xy+y²) =(x+y)²/y(x-y)÷y(x+y)/(x-y)² =(x+y)²/y(x-y)×(x-y)²/y(x+y) =(x+y)(x-y)/y² =(x²-y²)/y²将x=2,y=1代入得A=(4-1)/1=3愿对你有所帮助!