已知1/x+1/y=5 求2x-3xy+2y/3x+2xy+3y
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已知1/x+1/y=5求2x-3xy+2y/3x+2xy+3y已知1/x+1/y=5求2x-3xy+2y/3x+2xy+3y已知1/x+1/y=5求2x-3xy+2y/3x+2xy+3y分子分母同时除
已知1/x+1/y=5 求2x-3xy+2y/3x+2xy+3y
已知1/x+1/y=5 求2x-3xy+2y/3x+2xy+3y
已知1/x+1/y=5 求2x-3xy+2y/3x+2xy+3y
分子 分母同时除以 xy
则 分子得 2(1/x+1/y)-3=2*5-3=7
分母得 3(1/x+1/y)+2=3*5+2=17
则 得 7/17
∵1/x+1/y=5
∴(x+y)/xy=5
∴x+y=5xy
∴原式=2(x+y)-3xy/3(x+y)+2xy
=10xy-3xy/15xy+2xy
=7/17
已知1/x+1/y=5
即x+y=5xy
2x-3xy+2y/3x+2xy+3y
=10x-15xy+10y/15x+10xy+15y
=10x-3(x+y)+10y/15x+2(x+y)+15y
=7(x+y)/17(x+y)
=7/17
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