\(A=\dfrac{4n-2}{n-2}\)
\(A=\dfrac{4n-8+6}{n-2}=\dfrac{4n-8}{n-2}+\dfrac{6}{n-2}=\dfrac{4\left(n-2\right)}{n-2}+\dfrac{6}{n-2}=4+\dfrac{6}{n-2}\)
\(\Rightarrow6⋮n-2\)
\(\Rightarrow n-2\inƯ\left(6\right)\)
\(Ư\left(6\right)=\left\{\pm1;\pm6\right\}\)
Xét