Question

Chứng tỏ số \(A=2015^{2011}+2015^{2012}\) chia het cho 2016

Answer 1

\(A=2015^{2011}+2015.2015^{2011}=2015^{2011}.\left(1+2015\right)=2015^{2011}.2016\) chia hết cho 2016.

Answer 2

\(A=2015^{2011}+2015.2015^{2011}=2016.2015^{2011}\) chia hết cho 2016

Answer 3

\(A=2015^{2011}+2015^{2012}=2015^{2011}.1+2015^{2011}.2015=2015^{2011}.\left(1+2015\right)=2015^{2011}.2016\)

=> A chia hết cho 2016

=> ĐPCM

l-i-k-e cho mình nha bạn.