-2xy-x²-y² (x²-2y)²-(1-2y)² 分解因式

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 05:40:21

-2xy-x²-y² (x²-2y)²-(1-2y)² 分解因式
-2xy-x²-y² (x²-2y)²-(1-2y)² 分解因式

-2xy-x²-y² (x²-2y)²-(1-2y)² 分解因式
-2xy-x²-y²
=-(x²+2xy+y²)
=-(x+y)²
(x²-2y)²-(1-2y)²
=(x²-2y+1-2y)(x²-2y-1+2y)
=(x²-4y+1)(x²-1)
=(x²-4y+1)(x+1)(x-1)

(x²-2y)²-(1-2y)²
=(x²-2y+1-2y)(x²-2y-1+2y)
=(x²-4y+1)(x²-1)
=(x²-4y+1)(x+1)(x-1)