(lg2)^2+lg5lg20-1

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(lg2)^2+lg5lg20-1(lg2)^2+lg5lg20-1(lg2)^2+lg5lg20-1=(lg2)^2+lg5(lg5+lg4)-1=(lg2)^2+(lg5)^2+2*lg5*lg2

(lg2)^2+lg5lg20-1
(lg2)^2+lg5lg20-1

(lg2)^2+lg5lg20-1
=(lg2)^2+lg5(lg5+lg4)-1
=(lg2)^2+(lg5)^2+2*lg5*lg2-1
=(lg2+lg5)^2-1
=1-1
=0