Consider the difference equations \[ x_{n+1}=\frac{A-Bx_{n-1}}{C+Dx_{n-2}},\;n=0,1,2,\dots,\tag{\(*\)} \] where \(A,B\) are nonnegative, \(D>0\) and \(C\) is a nonzero real number. Also, \(C+Dx_{n-2}\neq 0\) for all \(n\geq 0\). The author investigates the global attractivity, periodic nature, oscillation and boundedness of all admissible solutions of equation (\(*\)). Reviewer's remark: It is not necessary to write \(\mp C\) in the denominator. The two cases that arise can be considered and treated as one case.