(lg2)³+(lg5)³+3lg2×lg5
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(lg2)³+(lg5)³+3lg2×lg5
(lg2)³+(lg5)³+3lg2×lg5
(lg2)³+(lg5)³+3lg2×lg5
(lg2)³+(lg5)³+3lg2×lg5
=(lg2)³+(lg5)³+3lg2×lg5×lg10
=(lg2)³+(lg5)³+3lg2×lg5×(lg2+lg5)
=(lg2+lg5)³
=1³
=1