若1/x+1/y=2,则(2x-xy+2y)÷(3x+5xy+3y)

枫-吻2022-10-04 11:39:542条回答

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never-ever 共回答了19个问题 | 采纳率100%: 1/x+1/y=2
y+x=2xy
(2x-xy+2y)=2(x+y)-xy=3xy
(3x+5xy+3y)=3(x+y)+5xy=11xy
(2x-xy+2y)÷(3x+5xy+3y)=3xy/11xy=3/11; 1年前

dipowei 共回答了113个问题 | 采纳率: (2x-xy+2y)÷(3x+5xy+3y)
=(2/y-1+2/x)/3/y+5+3/x)
=3/11; 1年前

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若2/x+2/y=1,则（2x-xy+2y）/（3x+5xy+3y）=? 坚硬的水20071年前3: Eason_22 共回答了11个问题 | 采纳率90.9%

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

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