Question

Find the difference x/25x-125-1/x^2-5x

Answer 1

The difference of  x/25x-125-1/x^2-5x

 (x/25x-125)-1/(x^2-5x)=  x / 25(x-5)   -  1/ x(x-5) = (1/x-5)(x/25-1/x) factorized by 1/x-5, and (1/x-5)(x/25-1/x) = (1/x-5)(x²-25/25x)= (1/x-5)  [(x-5)(x+5) / 25x]
= (x+5) / 25x  simplified by x-5
so the final answer is 
 x/25x-125-1/x^2-5x = (x+5) / 25x