Question

So sánh 72^45 -72^44 và 72^44 -72 ^43

Answer 1

\(72^{45}-72^{44}=72^{44}\cdot71\)

\(72^{44}-72^{43}=72^{43}\cdot71\)

Do đó: \(72^{45}-72^{44}>72^{44}-72^{43}\)

Answer 2

\(72^{45}-72^{44}=72^{44}\left(72-1\right)=72^{44}\cdot71>72^{43}\cdot71=72^{43}\left(72-1\right)=72^{44}-72^{43}\\ \Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)

Answer 3

72⁴⁵ - 72⁴⁴ = 72⁴⁴ . 71 

72⁴⁴ - 72⁴³ = 72⁴³ . 71

do đó  72⁴⁵ - 72⁴⁴ > 72⁴⁴ - 72⁴³