QuestionSimpify: $\frac{x^{2}+x-20}{x^{2}+6 x+5} \div \frac{x^{2}-x-12}{x^{2}-4 x-5}$

Studdy Solution
Substitute the factored forms into the expression:
$\frac{(x+5)(x-4)}{(x+5)(x+1)} \times \frac{(x-5)(x+1)}{(x-4)(x+3)}$
Cancel common factors:
- Cancel $(x+5)$ from the numerator and denominator. - Cancel $(x+1)$ from the numerator and denominator. - Cancel $(x-4)$ from the numerator and denominator.
The simplified expression is:
$\frac{x-5}{x+3}$