(lg5)2+lg2×lg50=______.
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(lg5)2+lg2×lg50=______.
![(lg5)2+lg2×lg50=______.](/uploads/image/z/494683-43-3.jpg?t=%EF%BC%88lg5%EF%BC%892%2Blg2%C3%97lg50%3D______%EF%BC%8E)
(lg5)2+lg2×lg50
=(lg5)2+lg2×(lg10+lg5)
=(lg5)2+lg2+(lg5)(lg2)
=lg5(lg5+lg2)+lg2=1.
故答案为:1.
=(lg5)2+lg2×(lg10+lg5)
=(lg5)2+lg2+(lg5)(lg2)
=lg5(lg5+lg2)+lg2=1.
故答案为:1.