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(x+y-2xy)(x+y-2)+(xy-1)^2因式分解 最好有每步的解说,
人气:150 ℃ 时间:2019-10-17 03:14:25
解答
(x+y-2xy)(x+y-2)+(xy-1)^2
=(x+y)^2-2(xy+1)+4xy+(xy-1)^2
=(x+y)^2-2(xy+1)++(xy+1)^2
=(x+y+xy+1)^2
(x+1)^2(y+1)^2第一步的2(xy+1)+4xy是怎么得出来的?x+y-2xy)(x+y-2)+(xy-1)^2=(x+y)^2-2(xy+1)(x+y)+4xy+(xy-1)^2=(x+y)^2-2(xy+1)(x+y)+(xy+1)^2=(x+y+xy+1)^2=(x+1)^2(y+1)^2
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