Question

Simplify:
((1/x)-(1/5))/((1/x^2)-(1/25))
I've been stumped on this for a while.

Answer 1

same denominator. top becomes: (5-x)/(5x)
bottom becomes: (25-x^2)/25x^2

(a/b)/(c/d)=ad/bc

so you get ((25x^2)(5-x))/(5x(25-x^2)
can u simplify that

Answer 2

you get (5x(5-x))/(25-x^2)
(a^2-b^2)=(a-b)(a+b)
so you get 5x/(5+x)
final answer