lg √2 +lg10−2(lg √2 )^2−lg√ 2 •lg5.求值

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lg√2+lg10−2(lg√2)^2−lg√2•lg5.求值lg√2+lg10−2(lg√2)^2−lg√2•lg5.求值lg

lg √2 +lg10−2(lg √2 )^2−lg√ 2 •lg5.求值
lg √2 +lg10−2(lg √2 )^2−lg√ 2 •lg5.求值

lg √2 +lg10−2(lg √2 )^2−lg√ 2 •lg5.求值
=1/2 lg2+1-2(1/2lg2)²-1/2lg2×(1-lg2)
=1/2lg2 +1-1/2lg²1-1/2lg2+1/2lg²2
=1