(lg5)²+lg2×lg5+lg2

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(lg5)²+lg2×lg5+lg2

(lg5)²+lg2×lg5+lg2
(lg5)²+lg2×lg5+lg2

(lg5)²+lg2×lg5+lg2
原式=lg5×(lg5+lg2)+lg2
=lg5×lg10+lg2
= lg5+lg2=lg10=1