计算:(lg5)2+lg2*lg50=?

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计算:(lg5)2+lg2*lg50=?
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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