Answer:Let's simplify the expression: \frac{x^2 - 4x - 5}{x^2 - 3x + 2} First, factor numerator and denominator. Numerator: x^2 - 4x - 5Look for two numbers that multiply to -5 and add to -4: -5 and 1So, factor as: (x - 5)(x + 1) Denominator: x^2 - 3x + 2Look for two numbers that multiply to 2 and add to -3: -1 and -2So, factor as: (x - 1)(x - 2) Expression becomes: \frac{(x - 5)(x + 1)}{(x - 1)(x - 2)} No common factors, so this is the simplified form.