34 x 34 > 35 x 33

107 x 108 > 106 x 109

Nhớ click cho mik nha !!!!!!!!!!!!!!!!

34^34-34³³>34³⁵ -34³⁴

\(A=\frac{2015+2016}{2016+2017}=\frac{2015}{2016+2017}+\frac{2016}{2016+2017}\)

\(B=\frac{2015}{2016}+\frac{2016}{2017}\)

vì \(\frac{2015}{2016+2017}<\frac{2015}{2016}\)và \(\frac{2016}{2016+2017}<\frac{2016}{2017}\)

nên A <B

ta co

5^2=25

2^5= 32

32>25

suy ra 5^2<2^5

ta có

3^25 =3^23.3^2

ma 3^23<3^23.3^2

suy ra 3^25>3^23

ta co

3^37 =3^35.3^2        

        = 3^35.9

vì 3^35.9<10.3^35

suy ra 3^37<10.3^35

\(\frac{43}{49}< \frac{31}{35}\)

Ta có:

43/49 = 42/49 + 1/49 = 6/7 + 1/49

31/35 = 30/35 + 1/35 = 6/7 + 1/35

Do 1/49 < 1/35

=> 43/49 < 31/35

a) ta có: -33/ 37 = -0,89

-34/35 = -0,97

=> -0,89 > -0,97 => -33/37> -34/35

b) ta có: \(\frac{n+1}{n+2}=\frac{n}{n+2}+\frac{1}{n+2}\)

mà \(\frac{n}{n+2}>\frac{n}{n+3}\Rightarrow\frac{n}{n+2}+\frac{1}{n+2}>\frac{n}{n+3}\)

\(\Rightarrow\frac{n+1}{n+2}>\frac{n}{n+3}\)

a) ta có: \(\frac{-33}{7}\) = -0,89

\(\frac{-34}{35}\)= -0,97

=> -0,89 > -0,97 => \(\frac{-33}{37}\)> \(\frac{-34}{35}\)

b) ta có: n+1n+2 =nn+2 +1n+2 

mà nn+2 >nn+3 ⇒nn+2 +1n+2 >nn+3 

⇒n+1n+2 >nn+3