计算(lg5)^2+lg2·lg50

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计算(lg5)^2+lg2·lg50

(lg5)^2+lg2·lg50
=(lg5)^2+lg2*lg2*25
=(lg5)^2+lg2*(lg2+lg25)
=(lg5)^2+(lg2)^2+lg2*lg5^2
=(lg5)^2+2lg2lg5+(lg2)^2
=(lg5+lg2)^2
=(lg10)^2
=1

(lg5)^2+lg2·lg50
=lg5*lg5+lg2*lg(5*10)
=lg5*lg5+lg2*(lg5+lg10)
=lg5*lg5+lg2*lg5+lg2
=lg5(lg5+lg2)+lg2
=lg5+lg2
=1