几道因式分解题!!急啊!

来源:百度知道 编辑:UC知道 时间:2024/06/15 12:01:51
1.(m-n)^2-(n-m)(m+2n)
2.3^2007-5*3^2006+6*3^2005
3.6x^3y(x-y)^3-4xy^3(y-x)^2
4.(x-y)^4+x(x-y)^3-y(y-x)^3

求求大家帮帮忙啊!

1.(m-n)^2-(n-m)(m+2n)
=(n-m)^2-(n-m)(m+2n)
=(n-m)(n-m-m-2n)
=(n-m)(-n-2m)

2.3^2007-5*3^2006+6*3^2005
=9*3^2005-15*3^2005+6*3^2005
=(9+6-15)*3^2005
=0

3.6x^3y(x-y)^3-4xy^3(y-x)^2
=6x^3y(x-y)^3-4xy^3(x-y)^2
=2xy(x-y)^2[3x^2(x-y)-2y^2]
=2xy(x-y)^2(3x^3-3x^2y-2y^2)

4.(x-y)^4+x(x-y)^3-y(y-x)^3
=(x-y)^4+x(x-y)^3+y(x-y)^3
=(x-y)^3(x-y+x+y)
=2x(x-y)^3

题目哪里抄的啊,这么简单;.....