到内蒙旅游自助游路线:还要问一道因式分解题

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/22 08:57:41
2x^3-4x^2y-x^2z+2xy^2+2xyz-y^2z

2x^3-4x^2y-x^2z+2xy^2+2xyz-y^2z
=2x^3-4x^2y+2xy^2-(x^2x-2xyz+y^2z)
=2x(x-y)^2-z(x-y)^2
=(2x-z)(x-y)^2

原式=2x^3-4x^2y-x^2z+2xy^2+2xyz-y^2z
=2x(x^2-2xy+z^2)-z(x^2-2xy+y^2)
=(2x-z)(x-y)^2