This is for homework, and I could really use help on the last step. This is the original equation. I'm working on simplifying it. My math book is for Intermediate Algebra. $$ \dfrac{ 5x }{ x^2-25 } - \dfrac{5}{x+5} $$
I created the common denominator by multiplying both sides by their missing factor.
$$ \dfrac{ 5x^2+25x}{ (x^2-25)(x+5) } - \dfrac{5x^2-125}{(x^2-25)(x+5)} $$
I combined the terms, which gave me:
$$ \dfrac{ 25x+125 }{ (x^2-25)(x+5) } $$
I believe the answer is below, based on wolfram alpha.
I'm not sure how to simplify from here, to get the answer.
$$ \dfrac{25}{x^2-25} $$