(lg5)^2+lg2*lg25+(lg2)^2

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(lg5)^2+lg2*lg25+(lg2)^2
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(lg5)^2+lg2*lg25+(lg2)^2
(lg5)^2+lg2*lg25+(lg2)^2

(lg5)^2+lg2*lg25+(lg2)^2
原式=(lg5)^2+2*lg2*lg5+(lg2)^2
=(lg5+lg2)^2
=(lg10)^2
=1

(lg5)^2+lg2*lg25+(lg2)^2
=(lg5)^2+lg2*lg5^2 +(lg2)^2
=(lg5)^2+2lg2*lg5 +(lg2)^2
=(lg5+lg2)^2
=[lg(2*5)]^2
=(lg10)^2
=1^2
=1