已知|a+1|+(2a-b)2=0,求3ab-15b2+5a2-6ab+15a2-2b2的值.

问题描述:

已知|a+1|+(2a-b)2=0,求3ab-15b2+5a2-6ab+15a2-2b2的值.

原式=-3ab-17b2+20a2
∵|a+1|+(2a-b)2=0,
∴a+1=0,2a-b=0,即a=-1,b=-2,
则原式=-6-68+20=-52.