Ta có:
2019.2021=2019.(2020+1)=2019.2020+2019 (1)
Lại có:
2020.2020=(2019+1).2020=2019.2020+2020 (2)
Vì 2019.2020=2019.2020 mà 2019<2020
=>(1)<(2)
=>.....
Bài giải
Ta có : \(2019\text{ x }2021=2019\text{ x }2020+2019\)
\(2020\text{ x }2020=2019\text{ x }2020+2020\)
\(\text{Vì }2019\text{ x }2020+2019< 2019\text{ x }2020+2020\text{ }\Rightarrow\text{ }2019\text{ x }2021< 2020\text{ x }2020\)
Bài giải
Ta có :
\(2019\text{ x }2021=2019\text{ x }2020+2019\)
\(2020\text{ x }2020=2019\text{ x }2020+2020\)
\(\text{Vì }2019\text{ x }2020+2019< 2019\text{ x }2020+2020\text{ }\Rightarrow\text{ }2019\text{ x }2021< 2020\text{ x }2020\)
2019x2021 = (2020 - 1)x(2020 + 1) = 2020^2 - 1 < 2020x2020