若2/x+2/y=1,则(2x-xy+2y)/(3x+5xy+3y)=?

问题描述:

若2/x+2/y=1,则(2x-xy+2y)/(3x+5xy+3y)=?

2/x+2/y=1
2(x+y)/xy=1
2(x+y)=xy
(x+y)=xy/2
(2x-xy+2y)/(3x+5xy+3y)
=(xy-xy)/(13xy/2)
=0