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-_数学解答

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

人气：160 ℃　时间：2019-10-31 20:37:49

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-...