lg5²+2/3lg8+lg5×lg20+(lg2)²

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

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

lg5²+2/3lg8+lg5×lg20+(lg2)²
原式=2lg5+2/3*lg2³+lg5*(lg2²+lg5)+lg²2
=2lg5+2lg2+2lg5*lg2+lg²5+lg²2
=2(lg2+lg5)+(lg2+lg5)²
=2*1+1²
=3