What is x2-25 --------- x2-x-20?

The expression ( \frac{x^2 - 25}{x^2 - x - 20} ) can be simplified by factoring both the numerator and the denominator. The numerator, ( x^2 - 25 ), factors to ( (x - 5)(x + 5) ). The denominator, ( x^2 - x - 20 ), factors to ( (x - 5)(x + 4) ). Thus, the expression simplifies to ( \frac{(x - 5)(x + 5)}{(x - 5)(x + 4)} ), and for ( x \neq 5 ), it reduces to ( \frac{x + 5}{x + 4} ).