Answer:
D. h=7
Step-by-step explanation:
1 2 16
------ + ------------ = ----------
h-5 h+5 (h^2 -25)
1 2 16
------ + ------------ = ----------
h-5 h+5 (h-5)(h+5)
Since h^2 -25 factors in (h-5) (h+5) ( it is the difference of squares)
We will multiply both sides by (h-5) (h+5) to clear the fractions
(h-5) (h+5) 2 (h-5) (h+5) 16 (h-5) (h+5)
------ + ------------ = ----------
h-5 h+5 (h-5)(h+5)
Canceling like terms
(h+5) 2 (h-5) 16
------ + ------------ = ----------
1 1 1
h+5 + 2(h-5) = 16
Distribute
h+5 + 2h -10 = 16
Combine like terms
3h-5=16
Add 5 to each side
3h-5+5 =16+5
3h =21
Divide each side by 3
3h/3 = 21/3
h = 7
