Question

(m-n)^2(n+m)^3(n-m)^4 简化怎么做`？加分！

答案家分析

Answer 1

(m-n)^2(n+m)^3(n-m)^4
=(m-n)^2(n+m)^3(m-n)^4
=(m-n)^6(n+m)^3
=(m-n)^3(m-n)^3(n+m)^3
=(m-n)^3(m^2-n^2)^3
=[(m-n)(m^2-n^2)]^3
=(m^3-nm^2-n^2m+n^3)^3

楼上最后一步错了

Answer 2

(m-n)^2(n+m)^3(n-m)^4
=(m-n)^2(n+m)^3(m-n)^4
=(m-n)^6(n+m)^3
=(m-n)^3(m-n)^3(n+m)^3
=(m-n)^3(m^2-n^2)^3
=[(m-n)(m^2-n^2)]^3
=(m^3-nm^2-n^2m-n^3)^3