a)  \(35\times17+84\times35-35\)

\(=35\times\left(17+84-1\right)\)

\(=35\times100=3500\)

b)  \(\frac{5}{2}\times\frac{1}{3}-\frac{1}{4}=\frac{5}{6}-\frac{1}{4}=\frac{7}{12}\)

c)  \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{2017}\right)\left(1-\frac{1}{2018}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{2016}{2017}.\frac{2017}{2018}\)

\(=\frac{1}{2018}\)

a)35x17+84x35-35

=35x(17+84-1)

=35x100

=3500

b)5/2x1/3-1/4

=5/6-1/4

=7/12

c)(1-1/2)x(1-1/3)x(1-1/4)x......x(1-1/2018)

=1/2x2/3x3/4x...x2017/2018

=1/2018

bạn cứ chép thế ko hiểu thì thôi

Ta có  :

\(A=2016.2018\)

\(\Rightarrow A=2016\left(2017+1\right)\)

\(\Rightarrow A=2016.2017+2016\)

Ta lại có :

\(B=2017.2017\)

\(\Rightarrow B=2017.\left(2016+1\right)\)

\(\Rightarrow B=2017.2016+2017\)

Ta thấy: \(2017>2016\)

\(\Rightarrow2017.2016+2017>2017.2016+2016\)

\(\Rightarrow B>A\)

A<B.Chỉ cần nhân chữ số cuối là biết

Ta có:

\(\frac{2017}{2019}=1-\frac{2}{2019}\)

\(\frac{2018}{2020}=1-\frac{2}{2020}\)

Vì \(\frac{2}{2019}>\frac{2}{2020}\)

=> \(1-\frac{2}{2019}>1-\frac{2}{2020}\)

=> \(\frac{2017}{2019}>\frac{2018}{2020}\)

\(\frac{2017}{1019}>\frac{2018}{2020}\)

giai chi tiet giup minh voi 

2018/-2017<-1=-2019/2019

suy ra 2018/-2017<-2019/2019

ta thấy\(1-\frac{2017}{2018}=\frac{1}{2018}>\frac{1}{2019}=1-\frac{2018}{2019}\)

\(\Rightarrow\frac{2017}{2018}< \frac{2018}{2019}\)

Bằng nhau nha

Ta có : \(0< \frac{2017}{2018}< 1\) nên   \(\frac{2017}{2018}>\frac{2017+2019}{2018+2019}\)(1)

\(0< \frac{2018}{2019}< 1\) nên \(\frac{2018}{2019}>\frac{2018+2018}{2018+2019}\) (2)

Cộng vế theo vế 1 và 2 ta được : \(B=\frac{2017}{2018}+\frac{2018}{2019}>\frac{2017+2018+2018+2019}{2018+2019}=\frac{2017+2018}{2018 +2019}+1=A+1>A\)

Vậy B>A