已知(a+b)2+|2b-1|=0,则 6ab-2ab-3(ab-1)=_.

问题描述:

已知(a+b)2+|2b-1|=0,则 6ab-2ab-3(ab-1)=______.

根据题意得,a+b=0,2b-1=0,
解得a=-

1
2
,b=
1
2

∴6ab-2ab-3(ab-1)
=6ab-2ab-3ab+3
=ab+3
=-
1
2
×
1
2
+3
=2
3
4

故答案为:2
3
4