Simplify the rational expression.
Answer:
[tex]\frac{x-6}{x-9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-2x-24}{x^2-5x-36}[/tex] ← factor the numerator and denominator
= [tex]\frac{(x-6)(x+4)}{(x-9)(x+4)}[/tex] ← cancel (x + 4 ) on numerator/ denominator
= [tex]\frac{x-6}{x-9}[/tex]