Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Ta có:\(Q=\frac{2015+2016+2017}{2016+2017+2018}=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì \(\hept{\begin{cases}\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\\\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\\\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\end{cases}}\)
\(\Rightarrow\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
\(\Rightarrow P>Q\)
Vậy P > Q
A=2015/2016+2016/2017+2017/2018>2015/2018+2016/2018+2017/2018
=6048/2018>1
B=2015+2016+2017/2016+2017+2018=6048/6051<1
=>A>B
Có: B = 2015 + 2016 + 2017/2016 + 2017 + 2018
B= 2015 / (2015 + 2016+2017) + 2016/(2016+2017+2018) + 2017/(2016 + 2017 + 2018)
vì 2015/2016 > 2015/(2016 + 2017+2018) ; 2016/2017>2016/(2016+2017+2018) ; 2017/2018 > 2017/(2016+2017+2018)
=> A>B
Ta có:2015/2016>2015/2016+2017+2018
2016/2017>2016/2016+2017+2018
2017/2018>2017/2016+2017+2018-Mình áp dụng so sánh phân số cùng tử đấy.
Suy ra2015/2016+2016/2017+2017/2018>(2015+2016+2017)/(2016+2017+2018)=B
A = 2016 . 2016
<=> A = ( 2014 + 2 ) . 2016
<=> A = 2014 . 2016 + 2 . 2016
B = 2014 .2018
<=> B = 2014 . ( 2016 + 2 )
<=> B = 2014 . 2016 + 2014 .2
Ta thấy : 2014 . 2016 = 2016 . 2014 màk 2 . 2016 > 2014 . 2
=> A > B
^^ Học tốt!
A=2016.2016=2016.(2014+2)=2016.2014+2016.2
B=2014.2018=2014.(2016+2)=2014.2016+2014.2
Vì 2016.2>2014.2 nên 2016.2014+2016.2>2014.2016+2014.2
Vậy A>B.
a ) 2015.2017 và 2016.2016
Ta thấy 5.7 < 6.6 , nên 2015 .2017 < 2016.2016
b ) 2014.2018 và 2016.2016
Ta thấy 4.8 < 6.6 nên 2014.2018 < 2016.2016
2015 x 2017 < 2016 x 2016 vì
2015 x 2017 = 4 064 255
2016 x 2016 = 4 064 256 nên
4 064 255 < 4 064 256
2014 x 2018 < 2016 x 2016 vì
2014 x 2018 = 4 064 252
2016 x 2016 = 4 064 256 nên
4 064 256 < 4 064 256