2(lg2)^2+(lg5)^2+3lg2lg5-lg2=_数学解答

2(lg2)^2+(lg5)^2+3lg2lg5-lg2=

人气：461 ℃　时间：2020-04-20 07:59:16

解答

2(lg2)^2+(lg5)^2+3lg2lg5-lg2
=2(lg2)^2+2lg2lg5+(lg5)^2+lg2lg5-lg2
=2lg2(lg2+lg5)+lg5(lg5+lg2)-lg2
=2lg2+lg5-lg2
=lg2+lg5
=1