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−
|=0,求5a2b-[2a2b-(ab2-2a2b)-4]-2ab2的值. 1 2
答
∵(a+2)2+|b−
|=0,1 2
则a+2=0,a=-2;
b-
=0,b=1 2
.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+
+41 2
=
.13 2