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

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

lg50+lg2*lg5+(lg2)^2=
lg50+lg2*lg5+(lg2)^2
=(lg2)^2+lg2lg5+lg(25*2)
=(lg2)^2+lg2lg5+2lg5+lg2
=lg2(lg+lg5)+2lg5+lg2
=lg2*1+2lg5+lg2
=2(lg5+lg2)
=2lg10
=2

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