暑假作业因式分解(x+y-2xy)(x+y)+(xy-1)2

暑假作业因式分解(x+y-2xy)(x+y)+(xy-1)2
急,最后的2是(xy-1)的平方的意识
变成(x+y-2xy)(x+y-2)+(xy-1)2
数学人气:539 ℃时间:2019-10-31 20:37:49
优质解答
x+y-2XY)(x+y-2)+(xy-1)^2 =[(x+y)-2xy][(x+y)-2]+(xy-1)^2 =(x+y)^2-2(xy+1)(x+y)+4xy+x^2y^2-2xy+1 =(x+y)^2-2(xy+1)(x+y)+x^2y^2+2xy+1 =(x+y)^2-2(xy+1)(x+y)+(xy+1)^2 =[(x+y)-(xy+1)]^2 =(x+y-xy-1)^2 =[x(1-...
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