用三种方法把x^3-xy^2+x^2y-y^3进行因式分解

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/06 11:51:47

第一种：
x^3-xy^2+x^2y-y^3
=(x^3-xy^2)+(x^2y-y^3)
=x(x^2-y^2)+y(x^2-y^2)
=(x+y)(x^2-y^2)
=(x+y)(x+y)(x-y)
=(x-y)(x+y)^2
第二种：
x^3-xy^2+x^2y-y^3
=(x^3-y^3)+(x^2y-xy^2)
=(x-y)(x^2+xy+y^2)+xy(x-y)
=(x-y)(x^2+2xy+y^2)
=(x-y)(x+y)^2
第三种：
x^3-xy^2+x^2y-y^3
=(x^3+x^2y)-(xy^2+y^3)
=x^2(x+y)-y^2(x+y)
=(x^2-y^2)(x+y)
=(x+y)(x-y)(x+y)
=(x-y)(x+y)^2

用三种方法把x^3-xy^2+x^2y-y^3进行因式分解把2x-2y+3xy(x-y)因式分解因式分解x^3+x^2y-xy^2-y^3 x^3-x^2y-xy^2+y^3因式分解因式分解x^3+x^2y-xy^2+y^3 x^2y+3xy^2-x-3y因式分解 -x^3y^3-x^2y^2-xy 因式分解. 因式分解 x^2-2xy-3y^2+x+y x^2+x^2y-xy^2-y^3因式分解 x^3-x^2y-xy^2+y因式分解因式分解方法x2－xy＋2x－y－3是x方-xy+2x-y-3, y^3+xy^2+2xy+x^2-1 因式分解