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x+y-1=xy/(x+y-xy)怎么因式分解
人气:379 ℃ 时间:2020-03-29 01:15:00
解答
x+y-1=xy/(x+y-xy)
(x+y-1)(x+y-xy)=xy
(x+y)²-(xy+1)(x+y)+xy=xy
(x+y)²-(xy+1)(x+y)=0
(x+y)[(x+y)-(xy+1)]=0
(x+y)(x+y-xy-1)=0好像没化简完、、嗯,是的。继续:
x+y-1=xy/(x+y-xy)
(x+y-1)(x+y-xy)=xy
(x+y)²-(xy+1)(x+y)+xy=xy
(x+y)²-(xy+1)(x+y)=0
(x+y)[(x+y)-(xy+1)]=0
(x+y)(x+y-xy-1)=0
(x+y)[(x-xy)+(y-1)]=0
(x+y)[x(1-y)-(1-y)]=0
(x+y)(1-y)(x-1)=0
(x+y)(x-1)(y-1)=0
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