Question

求多项式5m^2n+3mn^2-3m^2n-mn^2-4m^2n+3mn^2+1的值,其中m,n满足(m-2)^2+|n

Answer 1

(m-2)^2+|n+1/3|=0

(m-2)^2=0

m=2

|n+1/3|=0

n=-1/3

5m^2n+3mn^2-3m^2n-mn^2-4m^2n+3mn^2+1

=5m^2n-4m^2n-3m^2n+3mn^2-mn^2+3mn^2+1

=-2m^2n+5mn^2+1

=5mn^2-2m^2n+1

=mn(5n-2m)+1

=-1/3*2(-1/3*5-2*2)+1

=-2/3*(-5/3-4)+1

=-2/3*(-17/3)+1

=34/9+1

=43/9