Question

So sánh 2020^45-2020^44 và 2020^44-2020^43

GIÚP MK VỚI

Answer 1

Ta có: \(2020^{45}-2020^{44}\)

\(=2020^{44}\cdot2020-2020^{44}\cdot1\)

\(=2020^{44}\cdot\left(2020-1\right)\)

\(=2020^{44}\cdot2019\)

Ta có: \(2020^{44}-2020^{43}\)

\(=2020^{43}\cdot2020-2020^{43}\cdot1\)

\(=2020^{43}\cdot\left(2020-1\right)\)

\(=2020^{43}\cdot2019\)

Vì \(2020^{44}>2020^{43}\)

nên \(2020^{44}\cdot2019>2020^{43}\cdot2019\)

hay \(2020^{45}-2020^{44}>2020^{44}-2020^{43}\)