(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?

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(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?(lg5)^2+2/3lg8+lg5*lg20+(lg2)^

(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?
(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?

(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2怎么做?
(lg5)^2+2/3lg8+lg5*lg20+(lg2)^2
=(lg5)^2+2lg2+lg5*(1+lg2)+(lg2)^2
=lg5*(lg5+1+lg2)+2lg2+(lg2)^2
=2lg5+2lg2+(lg2)^2
=2+(lg2)^2