=lg5(3lg2 + 3) + 3(lg2)? + lg 10^(-2)
=3(lg5)(lg2) + 3lg5 + 3(lg2)? - 2
=3[(lg5)(lg2) + lg5 + (lg2)? ] - 2
=3[(lg2)(lg5 + lg2) + lg5] - 2
=3[(lg2)×lg(5×2) + lg5] - 2
=3[(lg2)×(lg 10) + lg5] - 2
=3(lg2 + lg5) - 2
=3×lg(2×5) - 2
=3×lg 10 - 2
=3-2
= 1