x^2+y^2-2x-2y+2xy+1= 因式分解

问题描述:

x^2+y^2-2x-2y+2xy+1= 因式分解

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