\(6a+1⋮2a+1\Leftrightarrow3\left(2a+1\right)-2⋮2a+1\)
\(\Leftrightarrow-2⋮2a+1\)vì \(3\left(2a+1\right)⋮2a+1\)
\(\Rightarrow2a+1\inƯ\left(-2\right)=\left\{\pm1;\pm2\right\}\)
2a + 1 | 1 | -1 | 2 | -2 |
2a | 0 | -2 | 1 | -3 |
a | 0 | -1 | 1/2 | -3/2 |
Vì \(a\inℤ\Rightarrow a=-1;0\)