a^2+9b^2+6a-6b+10=0
a^2+6a+9+9b^2-6b+1=0
(a+3)^2+(3b-1)^2=0
(a+3)^2=0,(3b-1)^2=0
a=-3
b=1/3
[6a^(m+2) b^(n+2)-4a^(m+1) b^(n+1)+2a^m b^n]/(-2a^m b^n）
=[6a^2*a^m*b^2* b^n-4a*a^m*b* b^n+2a^m b^n]/(-2a^m b^n）
=2a^m b^n[3a^2b^2-2ab+1]/(-2a^m b^n）
=-[3a^2b^2-2ab+1]
=-[3(ab)^2-2ab+1]
=-[3(-3*1/3)^2-2*(-3)*1/3+1]
=-[3(-1)^2+2+1]
=-[3+2+1]
=-6