Question

Chứng minh 2016^3-2016 chia hết cho 2017

Answer 1

\(2016^3-2016=2016.\left(2016^2-1\right)\)

\(=2016.\left(2016-1\right).\left(2016+1\right)\)

\(=2017.2016.2015⋮2017\) ( đpcm )

Answer 2

2016³-2016=2016(2016²-1)=2016.(2016-1)(2016+1)=2015.2016.2017 chia hết cho 2017

Answer 3

\(2016^3-2016\)

\(=2016\left(2016^2-1\right)\)

\(=2016.\left(2016-1\right)\left(2016+1\right)\)

\(=2015.2016.2017⋮2017\)

\(\Rightarrowđpcm\)