已知1/x+1/y=3,求(3x-5xy+3y)/(x-2xy+y)
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已知1/x+1/y=3,求(3x-5xy+3y)/(x-2xy+y)
1/x+1/y=3 去分母得 x+y=3xy
(3x-5xy+3y)/(x-2xy+y)
=[3(x+y)-5xy]/(x+y-2xy)
=(9xy-5xy)/(3xy-2xy)
=4xy/xy=4
(3x-5xy+3y)/(x-2xy+y)
=[3(x+y)-5xy]/(x+y-2xy)
=(9xy-5xy)/(3xy-2xy)
=4xy/xy=4
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