作业帮(x-y)²-(y-z)²=?x²+5x-6=
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/13 23:33:47
(x-y)²-(y-z)²=?x²+5x-6=
(x-y)²-(y-z)²=?
x²+5x-6=
(x-y)²-(y-z)²=?x²+5x-6=
(x-y)²-(y-z)²
=[(x-y)+(y-z)][(x-y)-(y-z）]
=（x-z）(x-2y+z）
(x-y)²-(y-z)²=(x-y-y+z)(x-y+y-z)=(x-2y+z)(x-z)
(x-y)²-(y-z)²
=[(x-y)-(y-z)][(x-y)+(y-z)]
=(x-y-y-z)(x-y+y-z)
=(x-2y-z)(x-z)
x²+5x-6
=(x+6)(x-1)
原式子=（x-y+y-z）（x-y-y+z）=(x-z)(x+z)