Giải thích các bước giải:
$2$+$2^{2}$+$2^{3}$+$2^{4}$+$2^{5}$+$2^{6}$+$2^{7}$+$2^{8}$
= ($2$+$2^{2}$+$2^{3}$+$2^{4}$)+($2^{5}$+$2^{6}$+$2^{7}$+$2^{8}$)
= ($2$+$2^{2}$+$2^{3}$+$2^{4}$)+$2^{5}$($2$+$2^{2}$+$2^{3}$+$2^{4}$)
= 30+$2^{5}$.30
= 30(1+$2^{5}$)
= 5.6.$2^{5}$ chia hết cho 6
⇒ $2$+$2^{2}$+$2^{3}$+$2^{4}$+$2^{5}$+$2^{6}$+$2^{7}$+$2^{8}$ chia hết cho -6 (đpcm)