(lg8+lg1000)lg5+3(lg2)^2+lg6^-1+lg0.006
=（3lg2+3lg10)lg5+3lg2×lg2-lg6+lg6-3lg10
=3lg2lg5+3lg5+3lg2lg2-3
=3lg2(lg5+lg2)+3lg5-3
=3lg2+3lg5-3
=3(lg2+lg5)-3
=3-3
=0非常感谢你，谢谢了满意采纳好评哈~