BẰNG NHAU

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B) >

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Vì sao bằng nhau ạ?? Xin hãy cho giải thích kỹ ak

a) \(A=2019.2021=\left(2020-1\right).\left(2020+1\right)=2020^2-1\)

\(B=2020.2020=2020^2\)

\(\Rightarrow2020^2-1< 2020^2\)\(\Rightarrow A< B\)

b) \(C=35.53-18=\left(34+1\right).53-18=34.53+53-18=34.53+34\)

mà \(D=35+53.34\)

\(\Rightarrow C=D\)

ta có \(A=\left(2015-3\right)\left(2015+3\right)=2015^2-9< 2015^2-1=\left(2015-1\right)\left(2015+1\right)=B\)

Vậy A<B

b. ta có \(C=\left(2020-1\right)\left(2020+1\right)=2020^2-1< 2020^2=D\text{ nên }C< D\)

a là 2020x2020 và b là 2018x2022 à bạn

nếu vậy thì b=2022x2018=(2020+2)x(2020-2)=2020x2020-4<a nha

chúc bạn học tốt

HYC-23/1/2022

b=2018.2022=(2020-2)(2020+2)=2020.2020+2.2020-2.2020-4=2020.2020-4<2020.2020

nên a>b

\(A=2020.2020=2020^2\)

\(B=\left(2020+2\right).\left(2020-2\right)=2020^2-2^2\)

Mà 2020² và 2² không âm nên

\(A>B\)

Ta có: \(a=2020.2020=\left(2018+2\right).2020=2018.2020+2020.2\)

          \(b=2018.2020=2018.\left(2020+2\right)=2018.2020+2018.2\)

Vì \(2018.2020=2018.2020\)

Mà \(2020.2>2018.2\)

Nên \(2018.2020+2020.2>2018.2020+2018.2\)

Vậy \(a>b\)

b) A = 2001 x 2009 và B = 2005 x 2005

\(A=2001\text{*}2009=2001\text{*}\left(2005+4\right)\)

                                 \(=2005\text{*}2001+4\text{*}2001\)

\(B=2005\text{*}2005=\left(2001+4\right)\text{*}2009\)

                                   \(=2001\text{*}2005+4\text{*}2005\)

Vì ta thấy : \(2005\text{*}2001+4\text{*}2001< 2001\text{*}2005+4\text{*}2005\)nên \(2001\text{*}2009< 2005\text{*}2005\)

a)

21/31=1-10/31=1-100/310

217/317=1-100/317

vì 1/310>1/317 nên a<b

ko bằng nhau

B> A

hk

\(A=137\cdot454+206\)

\(A=137\cdot\left(453+1\right)+206\)

\(A=137\cdot453+137+206\)
\(A=137\cdot453+343\)(1)

\(B=453\cdot138-110\)

\(B=453\cdot\left(137+1\right)-110\)

\(B=453\cdot137+453-110\)

\(B=453\cdot137+343\)(2)

Từ (1) và (2) suy ra: A=B

A = 453 x 137 + 206 + 137 = 435 x 137 + 343

B = 453 x 137 + 453 - 110 = 453 x 137 + 343

vậy A = B

A < B