Question

So sánh :

74⁴⁶ - 74⁴⁵ và 74⁴⁵ - 74⁴⁴

Answer 1

Ta có:

\(74^{46}-74^{45}=74^{45}.\left(74-1\right)\)

\(74^{45}-74^{44}=74^{44}.\left(74-1\right)\)

Vì \(74-1=74-1\); \(74^{45}>74^{44}\) nên

\(74^{45}.\left(74-1\right)>74^{44}.\left(74-1\right)\)

Do đó \(74^{46}-74^{45}>74^{45}-74^{44}\)

Chúc bạn học tốt!!!

Answer 2

\(74^{46}-74^{45}=74^{45}\left(74-1\right)\)

\(74^{45}-74^{44}=74^{44}\left(74-1\right)\)

\(74^{44}< 74^{45}\Rightarrow74^{44}-74^{45}>74^{45}-74^{44}\)