Question

计算(m+n)四次方(n-m)²(m-n)+(n-m)³(n+m)²(m+n)²

Answer 1

(m+n)四次方(n-m)²(m-n)+(n-m)³(n+m)²(m+n)²
=(m+n)^4(m-n)^3-(m-n)^(m+n)^4
=0

Answer 2

(m+n)^4(n-m)^2(m-n)+(n-m)^3(n+m)^2(m+n)^2
=-(m+n)^4(n-m)^3+(n-m)^3(n+m)^4
=(n-m)^3[(n+m)^4-(m+n)^4]
=0