（lg2）²+lg5*lg20
=（lg2）²+lg5*lg(2*10)
=（lg2）²+lg5*lg2+lg5*lg10
=lg2*(lg2+lg5)+lg5*1
=lg2*lg(2*5)+lg5
=lg2*1+lg5
=lg(2*5)
=lg10
=1
化简（lg2）²+lg5*lg20
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