Answer:
[tex]\frac{x+8}{x+2}[/tex]
Step-by-step explanation:
First we need to factorize the top and the bottom of the fraction:
[tex]\frac{x^{2}+11x+24 }{x^{2}+5x+6 }[/tex] = [tex]\frac{(x+8)(x+3)}{(x+2)(x+3)}[/tex]
The we cancel out the common factor:
[tex]\frac{x+8}{x+2}[/tex] And that is our final answer.
