124578*35+2015=
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\(\frac{2015^{35}+1}{2015^{34}+1}=\frac{2015^{35}+2015-2014}{2015^{34}+1}=\frac{2015\left(2015^{34}+1\right)-2014}{2015^{34}+1}=\frac{2015\left(2015^{34}+1\right)}{2015^{34}+1}-\frac{2014}{2015^{34}+1}=2015-\frac{2014}{2015^{34}+1}\)
\(\frac{2015^{34}+1}{2015^{33}+1}=\frac{2015^{34}+2015-2014}{2015^{33}+1}=\frac{2015\left(2015^{33}+1\right)-2014}{2015^{33}+1}=\frac{2015\left(2015^{33}+1\right)}{2015^{33}+1}-\frac{2014}{2015^{33}+1}=2015-\frac{2014}{2015^{33}+1}\)
Mà \(2015-\frac{2014}{2015^{34}+1}>2015-\frac{2014}{2015^{33}+1}\)
Vậy\(\frac{2015^{35}+1}{2015^{34}+1}>\frac{2015^{34}+1}{2015^{33}+1}\)
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a, \(35^{2016}-35^{2015}=35^{2015}\left(35-1\right)=35^{2015}\cdot34=35^{2015}\cdot17\cdot2\) chia hết cho 17
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a) Ta có: 7=7 ; 12 < 18 => 7/12 > 7/18
b) 35 = 35 ; 145 > 175 => 35/145 > 35/175
c) 78/79 < 1 ; 79/78 > 1 => 78/79 < 79/78
d) 2016 /2015 > 1 ; 2015/2016 < 1 => 2016/2015 > 2015/2016
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tổng trên có số hạng tử là (2015-31):1+1=1985(hạng tử)
tổng trên =-1-1-1-...-1+2015=-1984+2015=31
tích đúng cho mk nhé
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=> (x+x+x+...+x)+(26+35+44+...+2015)= 246291
dãy 26+35+44+...+2015 có:(2015-26):9+1=222(số)=>có 222 số x
Day trên bằng: (2015+26). 222:2=226551
=>222x+226551 = 246291
=>222x= 19740
=> x= 3290/37
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a) \(\left(55-27\right)+\left(27+30-55\right)\)
\(=55-27+27+30-55\)
\(=\left(55-55\right)+\left(-27+27\right)+30\)
\(=30\)
b) \(\left(75+35+15\right)-\left(15-75+35\right)\)
\(=75+35+15-15+75-35\)
\(=\left(75+75\right)+\left(35-35\right)+\left(15-15\right)\)
\(=75+75\)
\(=150\)
4362245
dễ thế mà ko làm đc
124578*35+2015=4362245