Question

Simplify the rational expression.

Answer 1

Answer:

$\frac{x-6}{x-9}$

Step-by-step explanation:

Given

$\frac{x^2-2x-24}{x^2-5x-36}$ ← factor the numerator and denominator

= $\frac{(x-6)(x+4)}{(x-9)(x+4)}$ ← cancel (x + 4 ) on numerator/ denominator

= $\frac{x-6}{x-9}$