1樓：風重的回憶
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-(x-y)+xy(x-y)=(x-y)(x^2+xy+y^2)-(x-y)+xy(x-y)=(x-y)(x^2+xy+xy+y^2-1)=(x-y)((x+y)^2-1)
=(x-y)(x+y-1)(x+y+1)
2樓：小南vs仙子
x(x+1)(x-1)+xy(x-y)-y(y+1)(y-1)＝x(x+1)(x-1)+xy(x＋1-1-y)-y(y+1)(y-1)
=x(x+1)(x-1)+xy(x＋1）—xy(y＋1)-y(y+1)(y-1)
=x(x+1)(x-1+y)-y(y+1)(x+y-1)=(x2+x-y2-y)(x+y-1)
=(x-y)(x+y+1)(x+y-1)
3樓：匿名使用者
很容易！
^3表示3次方
^2表示平方
x(x+1)(x-1)+xy(x-y)-y(y+1)(y-1)=x^3-x+xy(x-y)-y^3+y
=x^3-y^3-(x-y)+xy(x-y)=(x-y)(x^2+xy+y^2)-(x-y)+xy(x-y)=(x-y)(x^2+xy+y^2-1+xy)=(x-y)((x+y)^2-1)
=(x-y)(x+y-1)(x+y+1)
呵呵，多記記公式就會的！
4樓：泱柑枸
x(x+1)(x-1)+xy(x-y)-y(y+1)(y-1)=x^3-x+xy(x-y)-y^3+y
=x^3-y^3-(x-y)+xy(x-y)=(x-y)(x^2+xy+y^2)-(x-y)+xy(x-y)=(x-y)(x^2+xy+y^2-1+xy)=(x-y)((x+y)^2-1)
=(x-y)(x+y-1)(x+y+1)
其中x^3表示x的3次方
x^2表示x的2次方
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