find the LCD of the pair of rational expressions below

Question

43/s^2   -9,  s+4/ s^2 - s - 6

 

(/ means fraction

Answer 1

I assume you mean this: (43/s²) - 9  and  (s+4)/(s² - s - 6).

The 2 denominators have no common factors; therefore the LCD is the product of the 2 denominators:

s² (s-6)(s+1)

 

If you meant this: 43/(s² -9), there are still no common factors and the LCD becomes

(x-3)(x+3)(s-6)(s+1)