Answer:
4
Step-by-step explanation:
Given
[tex]\frac{25x-125}{x^2-25}[/tex] ← factor numerator and denominator
25x - 125 = 25(x - 5) ← factor out 25 from each term
x² - 25 = (x - 5)(x + 5) ← difference of squares
The fraction can now be expressed as
= [tex]\frac{25(x-5)}{(x-5)(x+5)}[/tex] ← Cancel common factor (x - 5) on numerator/ denominator
= [tex]\frac{25}{x+5}[/tex] → 4
