已知m+n=2,试求代数m^2(1+n)+n^2(1+m)明天要交的啊,
问题描述:
已知m+n=2,试求代数m^2(1+n)+n^2(1+m)明天要交的啊,
答
等于4
答
m^2(1+n)+n^2(1+m)=m^2+nm^2+n^2+mn^2=m^2+(m+n)mn+n^2=m^2+2mn+n^2=(m+n)^2=4