当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值

来源：学生作业帮助网编辑：六六作业网时间：2024/12/18 17:59:51

当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值原式分子

当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值
当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值

当x/y=3/4时,求分式(xy+y^2)/(x^2-xy)的值
原式分子分母同除以y²
原式=[(xy+y²)/y²]/[(x²-xy)/y²]
=[(x/y)+1]/[(x/y)²-(x/y)]
=(3/4+1)/(9/16-3/4)
=-28/3