把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/23 09:43:26
把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!m(2x+y)^2-m(x

把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!
把m(2x+y)^2-m(x+2y)^2分解因式
要过程哦!

把m(2x+y)^2-m(x+2y)^2分解因式要过程哦!
m(2x+y)^2-m(x+2y)^2
=m[(2x+y)^2-(x+2y)^2]
=m[2x+y-(x+2y)][2x+y+x+2y]
=m(x-y)(3x+3y)
=3m(x-y)(x+y)

m(2x+y)^2-m(x+2y)^2
=m((2x+y)^2-(x+2y)^2)
=m(2x+y+x+2y)(2x+y-x-2y)
=m(3x+3y)(x-y)
=3m(x+y)(x-y)

=m((2x+y)^2-(x+2y)^2)
=m((2x+y+x+2y)(2x+y-x-2y))
=3m(x+y)(x-y)