因式分解:(x+y)³+2xy-2x²y-2xy²-1
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 01:12:15
因式分解:(x+y)³+2xy-2x²y-2xy²-1
(x+y)³+2xy-2x²y-2xy²-1
=(x+y)³-1 -2xy(x+y-1)
=(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1)
=(x+y-1)[(x+y)²+(x+y)+1-2xy]
=(x+y-1)(x²+y²+x+y+1)
收录互联网各类作业题目,免费共享学生作业习题
慧海网手机作业共收录了 千万级 学生作业题目
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 01:12:15
因式分解:(x+y)³+2xy-2x²y-2xy²-1
(x+y)³+2xy-2x²y-2xy²-1
=(x+y)³-1 -2xy(x+y-1)
=(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1)
=(x+y-1)[(x+y)²+(x+y)+1-2xy]
=(x+y-1)(x²+y²+x+y+1)