(lg2)²+lg2·lg50+lg25=

分类: 作业答案 • 2023-01-14 16:33:18

问题描述：

答

(lg2)²+lg2·lg50+lg25=
=(lg2)²+lg2·（1+lg5）+2lg5
=(lg2)²+lg2lg5+lg2+2lg5
=lg2(lg2+lg5)+lg2+2lg5
=lg2*lg10+lg2+2lg5
=lg2+lg2+2lg5
=2(lg2+lg5)
=2lg10
=2