已知(y／x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值._数学解答

已知(y／x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值.

人气：229 ℃　时间：2019-12-06 07:02:42

解答

|y/x|=3,=>y=3x 或者y=-3x,x不等于0
1：y=3x；[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)]=16/25;x,y不等于0
2:y=-3x；[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)]=8/35;x,y不等于0