Respuesta :
Answer:
[tex]\frac{x+9}{x+4}[/tex]
Step-by-step explanation:
Factor the numerator and denominator
x² + 5x - 36 = (x + 9)(x - 4)
x² - 16 = (x + 4)(x - 4) ← difference of squares
The fraction can now be expressed as
[tex]\frac{(x+9)(x-4)}{(x+4)(x-4)}[/tex] cancel the factor ( x - 4) on numerator/ denominator
= [tex]\frac{x+9}{x+4}[/tex]
