计算(1g5)2+1g2*1g50=多少?

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计算(1g5)2+1g2*1g50=多少?

计算(1g5)2+1g2*1g50=多少?
计算(1g5)2+1g2*1g50=多少?

计算(1g5)2+1g2*1g50=多少?
(1g5)^2+1g2*1g50
=(1g5)^2+1g2*(lg2+lg25)
=(1g5)^2+1g2*(lg2+2lg5)
=(1g5)^2+2lg2lg5+(lg2)^2
=(lg5+lg2)^2
=(lg2*5)^2
=(lg10)^2
=1

(1g5)2+1g2*1g50
=(1g5)2+1g2*lg2*25
=(1g5)2+1g2*(lg2+lg25)
=(1g5)2+1g2*(lg2+2lg5)
=(1g5)2+2lg2lg5+(lg2)
=(lg5+lg2)2
=(lg2*5)2
=(lg10)2
=1

=(lg5)2+lg2*(lg5+lg10)
=(lg5)2+lg2*(lg5+1)
=lg5(lg5+lg2)+lg2
=lg5*1+lg2
=1

(lg5)^2+lg2×lg50=(lg5)^2+lg2×(lg5+lg10)=(lg5)^2+lg2×(lg5+1)=(lg5)^2+lg2×lg5+lg2=lg5×(lg5+lg2)+lg2=lg5×lg10+lg2=lg5×1+lg2=lg5+lg2=lg10=1