Chứng minh 6^(2n)+19^n-2^(n+1) chia hết cho 17 13/09/2021 Bởi Julia Chứng minh 6^(2n)+19^n-2^(n+1) chia hết cho 17
$6^{2n}+19^n-2^{n+1}$ $=36^n+19^n-4^n$ $=36^n+19^n-2^n-2^n$ $=\left(36^n-2^n\right)+\left(19^n-2^n\right)$ $=34^n+17^n⋮17$ Bình luận
$6^{2n}+19^n-2^{n+1}$
$=36^n+19^n-4^n$
$=36^n+19^n-2^n-2^n$
$=\left(36^n-2^n\right)+\left(19^n-2^n\right)$
$=34^n+17^n⋮17$