(lg5)的平方+lg2*lg50=多少?

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(lg5)的平方+lg2*lg50=多少?(lg5)的平方+lg2*lg50=多少?(lg5)的平方+lg2*lg50=多少?lg5*lg5+lg2*lg50=lg5*lg5+lg2*(lg5+lg1

(lg5)的平方+lg2*lg50=多少?
(lg5)的平方+lg2*lg50=多少?

(lg5)的平方+lg2*lg50=多少?
lg5*lg5+lg2*lg50
=lg5*lg5+lg2*(lg5+lg10)
=lg5*(lg5+lg2)+lg2*lg10
=lg5*lg10+lg2*lg10
=lg10*(lg2+lg5)
=lg10*lg10
=1*1
=1

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

(lg5)的平方+lg2*lg50
=(lg5)的平方+lg2*(1+lg5)
=(lg5)的平方+lg2*lg5+lg2
=lg5(lg5+lg2)+lg2
=lg5+lg2
=1

(lg5)²+lg2xlg50
=(lg5)²+lg2x(lg25+lg2)
=(lg5)²+lg2x(2lg5+lg2)
=(lg5)²+2lg2lg5+(lg2)²
=(lg5 + lg2)²=(lg10)²=1

lg²5+(1-lg5)(1+lg5)
=lg²5+1-lg²5
=1