x^2-y^2-z^2-2yz-2x+1因式分解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/28 16:56:19
x^2-y^2-z^2-2yz-2x+1因式分解x^2-y^2-z^2-2yz-2x+1因式分解x^2-y^2-z^2-2yz-2x+1因式分解x^2-y^2-z^2-2yz-2x+1=x^2-2x+

x^2-y^2-z^2-2yz-2x+1因式分解
x^2-y^2-z^2-2yz-2x+1因式分解

x^2-y^2-z^2-2yz-2x+1因式分解
x^2-y^2-z^2-2yz-2x+1
=x^2-2x+1-(y^2+z^2+2yz)
=(x-1)^2-(y+z)^2
=[(x-1)+(y+z)][(x-1)-(y+z)]
=(x+y+z-1)(x-y-z-1)

x^2-y^2-z^2-2yz-2x+1
=(x^2-2x+1)-(y^2+z^2+2yz)
=(x-1)^2-(y+z)^2
=(x+y+z-1)(x-y-z-1)

(x^2-2x+1)-(y^2+z^2+2yz)
=(x-1)^2-(y+z)^2
=[(x-1)+(y+z)][(x-1)-(y+z)]
=(x+y+z-1)(x-y-z-1)

x^2-y^2-z^2-2yz-2x+1
=x^2-(y^2+z^2+2yz)-2x+1
=x^2-2x+1-(y+z)^2
=(x-1)^2-(y+z)^2
=(x-1+y+z)(x-1-y-z)