= 2 lg5+2/3lg2^3+lg5*(lg4+lg5)+(lg2)^2

= 2 lg5+(2/3)* 3 lg2+lg5*2*lg2+(lg5)^2+(lg2)^2

=2lg5+2lg2+2lg5*lg2+(lg5)^2+(lg2)^2

=2(lg5+lg2)+(lg5+lg2)^2

=2lg 10 +(lg 10)^2

=2+ 1

=3

(I know: lgm n = n * lgm complete square formula: a 2+b 2+2 * a * b = (a+b) 2)

2、

(LG√2+lg3-LG√ 10)/LG 1.8

=(LG√2+LG√9-LG√ 10)/LG 1.8

=[LG √( 2 * 9/ 10)/LG 1.8

=(lg√ 1.8)/lg 1.8

=( 1/2)* LG 1.8/LG 1.8

= 1/2

I see: [lgm+lgn = LG (m * n); lgm-lgn=lg(m/2) ]

↖(^ω^)↗