Question

m、n互为相反数,（m+4)²-（n+4)²=16,求m²+n²-m/n的值

Answer 1

m、n互为相反数,m+n=0 m/n=-1

（m+4)²-（n+4)²=16

(m+4-n-4)(m+4+n+4)=16

(m-n)*8=16

m-n=2

m^2-2mn+n^2=4

因为

m^2+2mn+n^2=0

所以m^2+n^2=4/2=2

m²+n²-m/n

=2-(-1)

=3