Question

若m∧2=n+2，n∧2=m+2(m≠n)求m∧3-2mn+n∧3+2的值

帮下答嘞~谢谢谢谢额

Answer 1

∵m^2=n+2
n^2=m+2
∴m^2-n^2=n-m
∴(m+n)(m-n)=-(m-n)
∴m+n=-1
∵m^3-2mn+n^3+2
∴=m(n+2)-2mn+n(m+2)+2
=mn+2m-mn+mn+2n+2
=2(m+n)+2
=-2+2
=0
真巧，我们今天的讲义也有这道题撒＞＜