化简 (lg5)^2+(lg2)lg50

分类: 作业答案 • 2021-12-20 05:57:21

问题描述：

答

(lg5)^2+lg2*lg50
=(lg5)^2+lg2(lg5+1)
=lg5(lg5+lg2)+lg2
=lg5+lg2
=1

答

(lg5)^2+(lg2)lg50
=(lg5)^2+(lg2)lg5*10
=(lg5)^2+(1-lg5)(lg5+1)
=(lg5)^2+[1-(lg5)^2]
=1