a, Để A là số hữu tỉ khi n khác -3
b, \(A=\dfrac{n+3-2}{n+3}=1-\dfrac{2}{n+3}\Rightarrow n+3\inƯ\left(-2\right)=\left\{\pm1;\pm2\right\}\)
n+3 | 1 | -1 | 2 | -2 |
n | -2 | -4 | -1 | -5 |
c, \(A=1-\dfrac{2}{n+3}=\dfrac{5}{6}\Leftrightarrow\dfrac{n+1}{n+3}=\dfrac{5}{6}\Rightarrow6n+6=5n+15\Leftrightarrow n=9\)