Question

So sánh hai hiệu , hiệu nào lớn hơn ?    \(72^{45}-72^{44}và72^{44}-72^{43}\)

Answer 1

\(72^{45}-72^{44}=72^{44}\times\left(72-1\right)=72^{44}\times71\)

\(72^{44}-72^{43}=72^{43}\times\left(72-1\right)=72^{43}\times71\)

Vì \(44>43\Rightarrow72^{44}>72^{43}\Rightarrow72^{44}\times71>72^{43}\times71\)

\(\Rightarrow72^{45}-72^{44}>72^{44}-71^{43}\)