x^2-y^2-2x-4y-3因式分解

分类: 作业答案 • 2021-12-19 17:19:23

问题描述：

x^2-y^2-2x-4y-3因式分解

答

（x-y-3)(x+y+1)

答

x^2-y^2-2x-4y-3
=(x-1)^2-(y^2+4y+4)
=(x-1)^2-(y+2)^2
=(x-1+y+2)*(x-1-y-2)
=(x+y+1)*(x-y-3)