因式分解x^2-y^2-2-2y+1-2x

问题描述:

因式分解x^2-y^2-2-2y+1-2x

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