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Ta thấy:
A = \(\frac{20162017}{20162016}\) và B = \(\frac{20152016}{20152015}\)
A = \(\frac{20162016}{20162016}\)+ \(\frac{1}{20162016}\) = \(1\) + \(\frac{1}{20162016}\)
B = \(\frac{20152015}{20152015}\) + \(\frac{1}{20152015}\)= \(1\) + \(\frac{1}{20152015}\)
Vì: \(\frac{1}{20162016}\) \(< \) \(\frac{1}{20152015}\)
Nên: \(A\) \(< \) \(B\)
~ HokT~
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![](https://rs.olm.vn/images/avt/0.png?1311)
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Bài 18:
Ta có:
\(2015^{2015}-2015^{2014}=2015^{2014}\cdot\left(2015-1\right)=2015^{2014}\cdot2014\)
\(2015^{2016}-2015^{2015}=2015^{2015}\cdot\left(2015-1\right)=2015^{2015}\cdot2014\)
Mà: \(2014< 2015\)
\(\Rightarrow2015^{2014}< 2015^{2015}\)
\(\Rightarrow2015^{2014}\cdot2014< 2015^{2015}\cdot2014\)
\(\Rightarrow2015^{2015}-2015^{2014}< 2015^{2016}-2015^{2015}\)
Vậy: ...
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a = 2015 x 20162016
A = 2015 x 10001 x 2016
B = 2016 x 20152015
B = 2016 x 10001 x 2015
=> A = B
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( 20152015/20162016 + 20172017/20162016 ) . x - 1 = 2016
2.x-1=2016
2x=2017
x=2017:2
x=1008,5
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\(B=2015.20162016-2016.20152015\)
\(B=2015.2016.10001-2016.2015.10001\)
\(B=0\)
Ủng hộ mk nha ^_^
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20162016 - 20152015
= 2016 x 10001 - 2015 x 10001
= 10001 x (2016 - 2015)
= 10001 x 1
= 10001