Dynamics of the nonlinear rational difference equation $${x_{n + 1}} = {{A{x_{n - \alpha}}{x_{n - \beta}} + B{x_{n - \gamma}}} \over {C{x_{n - \alpha}}{x_{n - \beta}} + D{x_{n - \gamma}}}}$$xn+1=Axn−αxn−β+Bxn−γCxn−αxn−β+Dxn−γ