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

问题描述:

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

(x+y)(x+y)-2xy(x+y)+(x-y)(x-y)

x的平方+2xy+y的平方-2(x的平方)y-2x(y的平方)-x的平方y的平方+2xy-1

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-...