化简 (lg5)^2+(lg2)lg50_数学解答

化简 (lg5)^2+(lg2)lg50

人气：278 ℃　时间：2020-04-12 17:22:16

解答

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