Question

Which of the following is equal to the rational expression when x doesnt equal 5? x^2 - 25/ x - 5

Answer 1

the complete question in the attached figure

we have that
(x² - 25)/ (x - 5)

we know
(x² - 25)-------------> (Difference of two squares)----------> (x+5)*(x-5)

then

(x² - 25)/ (x - 5)-------> (x+5)*(x-5)/(x-5)------------> (x+5)

the answer is the option B)
(x+5)