a, 4n - 7 ⋮ n - 1

=> 4n - 4 - 3 ⋮ n - 1

=> 4(n - 1) - 3 ⋮ n - 1

=> -3 ⋮ n - 1

=> n - 1 thuộc Ư(-3)

=> n - 1 thuộc {-1; 1; -3; 3}

=> n thuộc {0; 2; -2; 4}

a) \(4\left(n-1\right)-3⋮\left(n-1\right)\)

\(\Rightarrow\left(n-1\right)\inƯ\left(3\right)=\left\{-3;-1;1;3\right\}\)

Do \(n\in N\Rightarrow n\in\left\{0;2;4\right\}\)

b) \(-5\left(4-n\right)+12⋮\left(4-n\right)\)

\(\Rightarrow\left(4-n\right)\inƯ\left(12\right)=\left\{-12;-6;-4;-3;-2;-1;1;2;3;4;6;12\right\}\)

Do \(n\in N\Rightarrow n\in\left\{16;10;8;7;6;5;3;2;1;0\right\}\)

c) \(-2\left(n-2\right)+6⋮\left(n-2\right)\)

\(\Rightarrow\left(n-2\right)\inƯ\left(6\right)=\left\{-6;-3;-2;-1;1;2;3;6\right\}\)

Do \(n\in N\Rightarrow n\in\left\{0;1;3;4;5;8\right\}\)

d) \(n\left(n+3\right)+6⋮\left(n+3\right)\)

\(\Rightarrow\left(n+3\right)\inƯ\left(6\right)=\left\{-6;-3;-2;-1;1;2;3;6\right\}\)

Do \(n\in N\Rightarrow n\in\left\{0;3\right\}\)

Bạn này làm sai r

ta có 10-2n\(⋮\)n-1

\(\Rightarrow\)12-(2n-2)\(⋮\)n-1

mà 2n-2\(⋮\)n-1

\(\Rightarrow\)12\(⋮\)n-1\(\Rightarrow\)n-1\(\in\)Ư(12)={\(\pm\)1;\(\pm\)2;\(\pm\)3;\(\pm\)4;\(\pm\)6;\(\pm\)12)

a) \(2n+7⋮2n+1\)

\(\Rightarrow\left(2n+1\right)+6⋮2n+1\)

\(\Rightarrow6⋮2n+1\)(vì \(2n+1⋮2n+1\))

\(\Rightarrow2n+1\inƯ\left(6\right)\)

\(\Rightarrow2n+1\in\left\{1;2;3;6\right\}\)

\(\Rightarrow\)\(2n\in\left\{0;1;2;5\right\}\)

\(\Rightarrow n\in\left\{0;1\right\}\)

b) \(3m-9⋮3m-1\)

\(\Rightarrow\left(3m-1\right)-8⋮3m-1\)

\(\Rightarrow8⋮3m-1\)(vì \(3m-1⋮3m-1\))

\(\Rightarrow3m-1\inƯ\left(8\right)\)

\(\Rightarrow3m-1\in\left\{1;2;4;8\right\}\)

\(\Rightarrow3m\in\left\{2;3;5;9\right\}\)

\(\Rightarrow m\in\left\{1;3\right\}\)

Hok "tuốt" nha^^

????????????????? viết rõ đi