(lg5)^2+lg2*lg50=

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(lg5)^2+lg2*lg50=(lg5)^2+lg2*lg50=(lg5)^2+lg2*lg50=(lg5)^2+lg2*lg50=(lg5)^2+lg2*(lg5+1)=(lg5)^2+(1-l

(lg5)^2+lg2*lg50=
(lg5)^2+lg2*lg50=

(lg5)^2+lg2*lg50=
(lg5)^2+lg2*lg50
=(lg5)^2+lg2*(lg5+1)
=(lg5)^2+(1-lg5)(1+lg5)
=(lg5)^2+1-(lg5)^2
=1