Question

Chứng tỏ: 6³⁰⁰ + 6²⁹⁹ + 6²⁹⁸ chia hết cho 43

Answer 1

\(6^{300}+6^{299}+6^{298}=6^{298}\left(6^2+6+1\right)\)

Answer 2

Ta có : 

\(6^{300}+6^{299}+6^{298}\)

\(=6^{298}\times6^2+6^{298}\times6+6^{298}\)

\(=6^{298}\times\left(6^2+6+1\right)\)

\(=6^{298}\times43\)

Vậy  \(6^{300}+6^{299}+6^{298}⋮43\)

_Chúc bạn học tốt_

Answer 3

\(6^{300}+6^{299}+6^{298}\)

\(=6^{298}\left(6^2+6+1\right)\)

\(=6^{298}.43⋮43\)

\(\RightarrowĐPCM\)