lg5²+2/3lg8+lg5*lg20+(lg2)²

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lg5²+2/3lg8+lg5*lg20+(lg2)²
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lg5²+2/3lg8+lg5*lg20+(lg2)²
lg5²+2/3lg8+lg5*lg20+(lg2)²

lg5²+2/3lg8+lg5*lg20+(lg2)²
lg5²+2/3lg8+lg5*lg20+(lg2)²
=(2 lg5+2 lg2)+lg5(2lg2+lg5)+(lg2)^2
=2+2lg2lg5+(lg5)^2+(lg2)^2
=2+(lg2+lg5)^2
=3