中科新闻网纸船四年级的时候:求助分解因式
来源：百度文库 编辑：中科新闻网 时间：2024/05/15 16:39:04
x平方y-xy平方+x立方-y立方(最好答案能详细点儿谢谢啦!!!!)
x^2*y-x*y^2+x^3-y^3
=xy(x-y)+(x-y)(x^2+xy+y^2)
=(x-y)(x^2+2xy+y^2)
=(x-y)(x+y)^2
x^2y-xy^2+x^3-y^3
=xy(x-y)+(x-y)(x^2+xy+y^2)
=(x-y)(x+y)^2
yx^2-xy^2+x^3-y^3
=xy(x-y)+(x-y)(x^2+xy+y^2)
=(x-y)(x^2+xy+xy+y^2)
=(x-y)(x+y)^2
因为x^3-y^3=(x-y)(x^2+xy+y^2)