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a) Ta có: \(B=2019.2021\)
\(B=\left(2020-1\right).\left(2020+1\right)\)
\(B=2020.2020+2020-2020-1\)
\(B=2020.2020-1< A\)
Vậy \(A>B\)
b) Ta có: \(B=2017.2021\)
\(B=\left(2019-2\right).\left(2019+2\right)\)
\(B=2019.2019+2019.2-2019.2-4\)
\(B=2020.2020-4< A\)
Vậy \(A>B\)
A = 2019.2021 = (2018+1).2021 = 2018.2021 + 2021.
B = 2018.2022 = 2018.(2021+1) = 2018.2021+2018.
Vì 2018.2021+2021 >2018.2021+2018 nên A > B.
a) A = 2018.2018 - 2018.(2017+1) = 2018.2017 + 2018.
B = 2017.2019 = 2017.(2018+1) = 2017.2018 + 2017.
Vì 2018.2017 + 2018 > 2017.2018 + 2017 nên A > B.
b) A = 2019.2021 = (2018+1).2021 = 2018.2021 + 2021.
B = 2018.2022 = 2018.(2021+1) = 2018.2021+2018.
Vì 2018.2021+2021 >2018.2021+2018 nên A > B.
a) A = 2018.2018 - 2018.(2017+1) = 2018.2017 + 2018.
B = 2017.2019 = 2017.(2018+1) = 2017.2018 + 2017.
Vì 2018.2017 + 2018 > 2017.2018 + 2017 nên A > B.
b) A = 2019.2021 = (2018+1).2021 = 2018.2021 + 2021.
B = 2018.2022 = 2018.(2021+1) = 2018.2021+2018.
Vì 2018.2021+2021 >2018.2021+2018 nên A > B
Ta có: A=2019.2021=(2020−1)(2020+1)=20202−1A=2019.2021=(2020−1)(2020+1)=20202−1
B=20202
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 \(C=\left(2020-1\right)\left(2020+1\right)=2020^2-1< 2020^2=D\text{ nên }C< D\)
\(A=2019.2021=\left(2020-1\right)\left(2020+1\right)=2020.2020-2020+2020-1\)
\(=2020.2020-1< 2020.2020=B\)