Final answer:
To solve the expression (x₂ - 3) / (x₃ + 4x₂ - 3x - 12), factor the denominator and cancel out the common factors to simplify the expression.
Step-by-step explanation:
To solve the expression (x₂ - 3) / (x₃ + 4x₂ - 3x - 12), we can start by factoring the denominator. Factoring gives us (x - 3)(x² + x - 4). We can then simplify the expression by canceling out the common factor of (x - 3) in the numerator and denominator. The simplified expression is (x - 3)/(x² + x - 4).