2 Solutions for some nonlinear rational difference equations of dif- ferent orders: In the begining, we try to deduce the general solution for the following nonlinear rational generalized quadratic difference equations of order one in the form : Xn Xn+1 = (x₂)² + a where (ro)² + -a In order to do this we introduce the following notations: Let xo = a Consider the following notations: .In general we have A₁ = a² + a A₂ = a² + aA² A3 = a² A²+ aA² A₁ = a² A² A²+ a A² p-2 Ap =a²IIA² + αA²-1 i=1 where p > 3. ((1))

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