已知(a+2)2+|b−1/2|=0,求5a2b-[2a2b-(ab2-2a2b)-4]-2ab2的值.

问题描述:

已知(a+2)2+|b−

1
2
|=0,求5a2b-[2a2b-(ab2-2a2b)-4]-2ab2的值.

(a+2)2+|b−

1
2
|=0,
则a+2=0,a=-2;
b-
1
2
=0,b=
1
2

则5a2b-[2a2b-(ab2-2a2b)-4]-2ab2
=5a2b-[2a2b-ab2+2a2b-4]-2ab2
=5a2b-2a2b+ab2-2a2b+4-2ab2
=a2b-ab2+4
=2+
1
2
+4
=
13
2