(lg5)²+lg2*lg50=?

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(lg5)²+lg2*lg50=?(lg5)²+lg2*lg50=?(lg5)²+lg2*lg50=?=lg5*lg5+lg2*lg(5*10)=lg5*lg5+lg2*

(lg5)²+lg2*lg50=?
(lg5)²+lg2*lg50=?

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