已知|a+1|+(b-2)2=0,求2a2-[8ab+1/2(ab-4a2)]-1/2ab的值.
问题描述:
已知|a+1|+(b-2)2=0,求2a2-[8ab+
(ab-4a2)]-1 2
ab的值.1 2
答
原式=2a2-8ab-
ab+2a2-1 2
ab,1 2
=4a2-9ab,
∵|a+1|+(b-2)2=0,
∴a=-1,b=2,
把a=-1,b=2代入原式得:原式=4+9×2=22.