(1+y-x^2+x^2y-2xy)(1+y-x^2+x^2y+2xy)分解因式

来源:百度知道 编辑:UC知道 时间:2024/05/10 22:36:28
(1+y-x^2+x^2y-2xy)(1+y-x^2+x^2y+2xy)
最后要化成
(x-1)(xy-x-1-y)(x+1)(xy-x+1+y)
说出道理
要快!!!!!!!!!!!
讲的好我会多给分的~~~~~~~~~!!!!!!!!!!!!
2l
好象复杂了些..............
大家加油...............
其实应该很简单...........
1l
什么乱器八糟的..........不就是想挣分嘛........
好好答..........
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(1+y-x^2+x^2y-2xy)(1+y-x^2+x^2y+2xy)分解因式

=[(1-x^2)+(x^2y-2xy+y)][(1-x^2)+(x^2y+2xy+y)]

=[(1-x^2)+y(x^2-2x+1)][(1-x^2)+y(x^2+2x+1)]

=[(1+x)(1-x)+y(x-1)^2][(1+x)(1-x)+y(x+1)^2]

=(x-1)[-(x+1)+y(x-1)](x+1)[1-x+y(x+1)]

=(x-1)(xy-x-y-1)(x+1)(xy-x+y+1)

楼上的好厉害
我算了半天也没弄明白哎

哗~
真强~
自愧不如
厉害

=(x-1)(xy-x-y-1)(x+1)(xy-x+y+1)

(1+y-x^2+x^2y-2xy)(1+y-x^2+x^2y+2xy)分解因式

=[(1-x^2)+(x^2y-2xy+y)][(1-x^2)+(x^2y+2xy+y)]

=[(1-x^2)+y(x^2-2x+1)][(1-x^2)+y(x^2+2x+1)]

=[(1+x)(1-x)+y(x-1)^2][(1+x)(1-x)+y(x+1)^2]

=(x-1)[-(x+1)+y(x-1)](x+1)[1-x+y(x+1)]

=(x-1)(xy-x-y-1)(x+1)(xy-x+y+1)不错不错我也是这样想DI'

1+y-x^2+x^2y-2xy)(1+y-x^2+x^2y+2xy)分解因式

=[(1-x^2)+(x^2y-2xy+y)][(1-x^2)+(x^2y+2xy+y)]

=[(1-x^2)+y(x^2-2x+1)][(1-x^2)+y(x^2+2x+1)]

=[(1+x)(1-x)+y(x-1)^2][(1+x)(1-x)+y(x+1)^2]

=(x-1)[-(x+1)+y(x-1)](x+1)[1-x+y(x+