lg25+2lg2+lg5*lg20+lg^22=?

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lg25+2lg2+lg5*lg20+lg^22=?lg25+2lg2+lg5*lg20+lg^22=?lg25+2lg2+lg5*lg20+lg^22=?原式=lg5²+2lg2+lg5×

lg25+2lg2+lg5*lg20+lg^22=?
lg25+2lg2+lg5*lg20+lg^22=?

lg25+2lg2+lg5*lg20+lg^22=?
原式=lg5²+2lg2+lg5×(lg5+lg4)+lg²2
=2lg5+2lg2+lg²5+lg5×lg4+lg²2
=2×(lg5+lg2)+lg²5+lg5×lg2²+lg²2
=2×lg10+lg²5+2lg5×lg2+lg²2
=2+(lg5+lg2)²
=2+lg²10
=2+1
=3