lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6

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lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
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lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6

lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
=lg5 (3lg2+3)+(lg2 )(lg2 )+lg0.06*1/6
=3lg5+3lg2lg5+lg2lg2+lg0.01
=3lg5+2lg2lg5+lg2(lg2+lg5)-2=3lg5+2lg2lg5+lg2-2
=2lg5+2lg2lg5-1=2lg5(lg2+lg5)-1=2lg5-1

lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
=(lg8+lg1000)lg5+3*(lg2)^2+lg(6)^-1+lg0.006-2*(lg2)^2
=(lg8+3)*lg5+lg8*lg2-lg6+lg6-3-2*(lg2)^2
=lg8(lg5+lg2)+3lg5-3-2*(lg2)^2
=lg8+3lg5-3-2*(lg2)^2
=lg(8*125)-3-2*(lg2)^2
=-2*(lg2)^2