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Ta có: a = 2002.2002 = 2002.(2000 + 2) = 2002.2000 + 2002.2
b = 2000.2004 = 2000.(2002 + 2) = 2000.2002 + 2000.2
Do 2002. 2000 = 2000. 2002 và 2002.2 > 2000.2
Nên a > b
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A=2883.2887
=(2881+2).2887
=2881.2887+2.2887
B=2881.2889
=2881.(2887+2)
=2881.2887+2881.2
Suy ra: 2881.2887+2.2887 > 2881.2887+2881.2
=2883.2887>2881.2889
=A>B
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\(A>\left(2021^2-1\right)\cdot2021=\left(2021-1\right)\left(2021+1\right)\cdot2021=B\)
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\(B=2020.2021.2022=\left(2021-1\right).2021.\left(2021+1\right)=\left[\left(2021-1\right)\left(2021+1\right)\right].2021=\left(2021^2-2021+2021-1\right).2021=\left(2021^2-1\right).2021=2021^3-2021< 2021^3=A\)
vậy B<A
\(B=2020.2021.2022\\ B=\left(2021-1\right).2021.\left(2021+1\right)\\ B=\left(2021^2-1\right).2021\\ B=2021^3-2021\\ \Rightarrow A>B\)
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Tham khảo:https://hoc24.vn/cau-hoi/cho-a-20213-va-b-202020212022-khong-tinh-cu-the-cac-gia-tri-cua-a-va-b-hay-so-sanh-a-va-b-ai-lam-giup-mik-voi.3007463332171
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B = 2020.2021.2022
B = (2021 - 1).(2021 + 1).2021
B = (2021.2021 + 2021 - 2021 - 1).2021
B = (20212021-1).2021
B = 20213 - 2021
Vậy A > B
A=123.123
=123.(121+2)
=123.121+123.2
B=121.124
=121.(123+1)
=121.123+121.1
vì 123.121 = 121.123
và 123.2 > 121.1
=> 123.123 > 121.124
Vậy A > B.
B=121.124=121.(123+1)=121.123+121.1
A=123.123=123.(121+2)123.121+123.2
Vi 123.2>121.1=>A>B