On a Rational $(P+1)$th Order Difference Equation with Quadratic Term

In this paper, we derive the forbidden set and determine the solutions of the difference equation that contains a quadratic term {equation*} xₙ₊₁={xₙxₙ₋ₚ}{axₙ₋₍ₚ₋₁₎+bxₙ₋ₚ}, n_0, {equation*} where the parameters a and b are real numbers, p is a positive integer and the initial conditions x₋ₚ, x₋ₚ₊₁, ⋯, x₋₁, x₀ are real numbers.