x2y2-x2-y2+4xy+1分解因式

问题描述:

x2y2-x2-y2+4xy+1分解因式

x2y2-x2-y2+4xy+1
=(xy)^2+2xy+1-(x^2-2xy+y^2)
=(xy+1)^2-(x-y)^2
=(xy+1+x-y)(xy+1-x+y)