(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×lg(5×10)
=(lg5)²+lg2×(lg5+1)
=(lg5)²+lg2×lg5+lg2
=lg5×(lg2+lg5)+lg2
=lg5+lg2
=1