Question

Cm:(35²⁵-35²⁴)\(⋮\)17

Answer 1

Ta có: \(35^{25}-35^{24}\)

\(=35^{24}\cdot\left(35-1\right)\)

\(=35^{24}\cdot34\)

Mà: 34 ⋮ 17

\(\Rightarrow35^{24}\cdot34\) ⋮ 17 

Hay \(35^{25}-35^{24}\) ⋮ 17 (đpcm)

Answer 2

\(\left(35^{25}-35^{24}\right)=\left(35.35^{24}-35^{24}\right)=34.35^{24}\)

mà \(34⋮17\)

\(\Rightarrow34.35^{24}⋮17\)

⇒đpcm