已知1/x-1/y=3,求分式2x+3xy-2y/x+2xy-y的值.回答者请在1小时内提交答案.
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已知1/x-1/y=3,求分式2x+3xy-2y/x+2xy-y的值.回答者请在1小时内提交答案.
已知1/x-1/y=3,求分式2x+3xy-2y/x+2xy-y的值.
回答者请在1小时内提交答案.
已知1/x-1/y=3,求分式2x+3xy-2y/x+2xy-y的值.回答者请在1小时内提交答案.
1/x-1/y=3
(y-x)/xy=3
y-x=3xy
x-y=-3xy
原式=2(x-y)+3xy/x-y+2xy
-6xy+3xy/-3xy+2xy
-3xy/-1xy
=3
∵1/x-1/y=3,两边同乘xy∴y-x=3xy
带入,分子2x+3xy-2y=-3xy×2+3xy=-3xy
分母x+2xy-y=-3xy+2xy=-xy
∴原式=3
1/x-1/y=3
(y-x)/xy=3
y-x=3xy
x-y=-3xy
原式=2(x-y)+3xy/x-y+2xy
-6xy+3xy/-3xy+2xy
-3xy/-1xy
=3
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