Question 701082
The numerator is the difference of two perfect squares. As such it factors into the sum and difference of the square roots of those two perfect squares, namely
(1) {{{(x^2-25)}}} = {{{(x+5)*(x-5) }}}
When this factored numerator is divided by (x+5), that factor "cancels" (x+5) in (1) leaving the solution
(2) x-5
Answer: {{{(x^2-25)/(x+5) = (x-5)}}}