Simplify. Please help me fractions hate me:)

Question

(1/25-1/x^2)divided by (1/5+1/x)

Answer 1

(1/25 - 1/X^2) / (1/5 + 1/X) =
((X^1 - 25) / 2SX^2) / ((X + 5)/5X) =
((X + 5)(X - 5)/25X^2) / ((X +5 )/5X)=
Invert and multiply:
((X + 5)(X - 5))/ 25X^2) * 5X / (X + 5)
The (x + 5) factors cancel:
(x
X - 5) / 5x.