计算:(lg5)2+lg2*lg50=?

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 02:49:37

计算:(lg5)2+lg2*lg50=?
计算:(lg5)2+lg2*lg50=?

计算:(lg5)2+lg2*lg50=?
(lg5)^2+lg2×lg50
=(lg5)^2+lg2×(lg5+lg10)
=(lg5)^2+lg2×(lg5+1)
=(lg5)^2+lg2×lg5+lg2
=lg5×(lg5+lg2)+lg2
=lg5×lg10+lg2
=lg5×1+lg2
=lg5+lg2
=lg10
=1

(lg5)^2+lg2*lg50
=(lg5)^2+lg(10/5)lg(10*5)
=(lg5)^2+(1-lg5)(1+lg5)
=(lg5)^2+[1-(lg5)^2]
=(lg5)^2+1-(lg5)^2
=1

这个是我们资料书上的答案(lg5)^2+lg2×lg50
=(lg5)^2+lg2×(lg5+lg10)
=(lg5)^2+lg2×(lg5+1)
=(lg5)^2+lg2×lg5+lg2
=lg5×(lg5+lg2)+lg2
=lg5×lg10+lg2=lg5×1+lg2=lg5+lg2=lg10=
1

计算:(lg5)2+lg2*lg50=? (lg5)^2+lg2×lg50=? (lg5)^2 + (lg2)*(lg50)= (lg5)^2+lg2*lg50= lg50+lg2*lg5+(lg2)^2= 计算（lg5)^2+lg2·lg50 （lg5)^2+lg2*lg50 lg2+lg50+lg5怎样计算 lg50+lg2*lg5+lg²2=? (lg5)^2+lg2·lg50=?求救... lg2*lg50+lg5*lg20-2lg5*lg2 计算:(lg2)的平方+lg2*lg5+lg50! 计算(lg2)²+2lg2·lg5+(lg5)²+lg50－lg5求答案, (lg5)²+lg2*lg50=? 化简 (lg5)^2+(lg2)lg50 (lg5)^2+lg2*lg50 求值计算 lg5×lg20-lg2×lg50-lg25 计算lg25+lg2*lg50+(lg2)^2答案是这么写的 =(lg2)^2+(1+lg5)*lg2+lg5^2=(lg2+lg5+1)lg2+2lg5=(1+1)lg2+2lg5=2(lg2+lg5)=2为什么算下来成了（1+lg5)lg2