来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/09 00:13:19
(lg2)^2+lg2×lg50+lg25
(lg2)²+lg2lg50+lg25
=(lg2)²+lg2×lg(5²×2)+lg5²
=(lg2)²+lg2(2lg5+lg2)+2lg5
=(lg2)²+(lg2)²+2lg2lg5+2lg5
=2lg2lg2+2lg2lg5+2lg5
=2lg2(lg2+lg5)+2lg5
=2lg2×lg10+2lg5
=2lg2+2lg5
=2(lg2+lg5)
=2