Answer:
[tex]\frac{x-1}{x+4}[/tex]
Step-by-step explanation:
Factor the numerator and denominator
x² + 4x - 5 = (x + 5)(x - 1)
x² + 9x + 20 = (x + 4)(x + 5)
Thus fraction becomes
[tex]\frac{(x+5)(x-1)}{(x+4)(x+5)}[/tex]
Cancel the factor (x + 5) on numerator/ denominator
= [tex]\frac{x-1}{x+4}[/tex]