Question

so sánh 2022^45 -2022^44 và 2022^44-2022^43

Answer 1

Ta có: 2022⁴⁵-2022⁴⁴=2022⁴⁴.(2022^45-44-1)=2022⁴⁴.(2022-1)=2022⁴⁴.2021

2022⁴⁴-2022⁴³=2022⁴³.(2022^44-43-1)=2022⁴³.(2022-1)=2022⁴³.2021

Vì 2022⁴⁴.2021>2022⁴³.2021 nên 2022⁴⁵-2022⁴⁴>2022⁴⁴-2022⁴³

Answer 2

\(2022^{45}-2022^{44}=2022^{44}\cdot2021\)

\(2022^{44}-2022^{43}=2022^{43}\cdot2021\)

mà 44>43

nên \(2022^{45}-2022^{44}>2022^{44}-2022^{43}\)