\(2n-3\) chia hết \(n+1\)
\(\Leftrightarrow2n+2-5\) chia hết \(n+1\)
\(\Leftrightarrow2\left(n+1\right)-5\) chia hết \(n+1\)
Mà \(2\left(n+1\right)⋮n+1\) suy ra \(5⋮n+1\)
\(\Rightarrow n+1\inƯ\left(5\right)=\left\{1;-1;5;-5\right\}\)
\(\Rightarrow n+1\in\left\{0;-2;4;-6\right\}\left(n\in Z\right)\)