(xy-x^2)÷x^2-2xy+y^2/xyx-y/y^2yx^-2

分类: 作业答案 • 2022-05-13 11:14:32

问题描述：

(xy-x^2)÷x^2-2xy+y^2/xy*x-y/y^2*yx^-2
(xy-x^2)÷{x^2-2xy+y^2/xy}*{x-y/y^2}*{yx^-2}

答

(xy-x^2)÷x^2-2xy+y^2/xy*x-y/y^2*yx^-2
=[x^2y(y-x)÷(y-x)^2]{y(x-y)/x^2y^2}
=[x^2y][y(x-y)]/(y-x)(xy)^2
=(xy)^2(x-y)/[-(x-y)(xy)^2]
=-1

(xy-x^2)÷x^2-2xy+y^2/xy*x-y/y^2*yx^-2