1..x(m-n)^3-x^2(n-m)^2~2..4m(x-y)-2m^2(y-x)^3 分解因式 具体
问题描述：
1..x(m-n)^3-x^2(n-m)^2~2..4m(x-y)-2m^2(y-x)^3 分解因式 具体
答
前者=x（m-n-x）(m-n)^2
后者=2m（x-y）[2+m(x-y)^2]
答
1、x(m-n)^3-x^2(n-m)^2
=x(m-n)^2(m-n)-x^2(m-n)^2
=x(m-n)(m-n)(m-n-x)
2、4m(x-y)-2m^2(y-x)^3
=2m(x-y)(2+m(y-x)^2)
=2m(x-y)(mx^2-2mxy+my^2+2)
答
x(m-n)^3-x^2(n-m)^2
=x(m-n)^3－x²(m－n)²
=x(m－n)²(m－n－x)
4m(x-y)-2m^2(y-x)^3
=4m(x-y)＋2m²(x－y)³
=2m(x－y)[2＋m(x－y)²]
=2m(x－y)(2＋mx²－2mxy＋my²)