数学因式分解 急 急 急 急 急

来源:百度知道 编辑:UC知道 时间:2024/07/05 15:13:43
x(x+1(x-1)+xy(x-y)-y(y+1)(y-1)

题出错了啊 少一个“)”

x(x+1)(x-1)+xy(x-y)-y(y+1)(y-1)
解:
x(x+1)(x-1)+xy(x-y)-y(y+1)(y-1)
= x(x^2-1)+xy(x-y)-y(y^2-1)
= x^3-x+xy(x-y)-y^3+y
=x^3-y^3+xy(x-y)-(x-y)
=(x-y)(x^2+xy+y^2)+xy(x-y)-(x-y)
=(x-y)(x^2+xy+y^2+xy-1)
=(x-y)[(x+y)^2-1]
=(x-y)(x+y+1)(x+y-1)

很简单啊
拆开就行了
(x-y)*(x+y+1)*(x+y-1)