lg²2+ lg2*lg5+ lg5的值

lg²2+ lg2*lg5+ lg5的值
lg²2+ lg2*lg5+ lg5的值

lg²2+ lg2*lg5+ lg5的值
lg²2+ lg2*lg5+ lg5
=lg2×(lg2+lg5)+lg5
=lg2×lg10+lg5
=lg2+lg5
=lg10
=1

=(lg2+lg5)^2-lg2lg5-lg5lg5+lg5
=1-(lg2+lg5)lg5+lg5
=1-lg5+lg5
=1

lg²2+ lg2*lg5+ lg5=lg2(lg2+lg5)+lg5=lg2*lg10+lg5=lg2*1+lg5=lg2+lg5=lg10=1

没看明白题 用汉语解释一下吧