Final answer:
The given expression (x-3)(x-2)/(x+3)(x-3) simplifies to (x-2)/(x+3) by canceling out the common factor (x-3) in both the numerator and the denominator.
Step-by-step explanation:
The expression in question is (x-3)(x-2)/(x+3)(x-3). To simplify this expression, we look for common factors in the numerator and the denominator. Since (x-3) appears in both, we can cancel it out, assuming that x is not equal to 3 because that would make the denominator equal to zero, which is undefined. After canceling, the expression simplifies to (x-2)/(x+3).