lg25+(2/3)lg8+lg5.lg20+(lg2)^2

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lg25+(2/3)lg8+lg5.lg20+(lg2)^2

lg25+(2/3)lg8+lg5.lg20+(lg2)^2
=2lg5+2lg2+lg5(1+lg2)+(lg2)²
=2+lg5+lg5lg2+lg²2
=2+lg5+lg2
=2+1
=3