Question

1) chứng mình : 35²⁰¹⁹ - 35²⁰¹⁸ ⋮ 17

Answer 1

\(35^{2019}-35^{2018}\)

\(=35^{2018}\times35-35^{2018}\)

\(=35^{2018}\left(35-1\right)\)

\(=35^{2018}\times34\)

vì \(34⋮17\)

\(\Rightarrow35^{2018}\times34⋮17\)

Vậy: \(35^{2019}-35^{2018}⋮17\)

Answer 2

Giải:

\(35^{2019}-35^{2018}\)

\(=35^{2018}\left(35-1\right)\)

\(=34.35^{2018}\)

\(=2.17.35^{2018}⋮17\)

Vậy ...