Question

simplify 2x^2-13x+15/x^2-25

Answer 1

both of these you are able to factor out; when you factor 2x^2-13+15, what values do you get? Same with x^2-25?

Answer 2

2x^2 - 13x + 15
2x^2 -10x - 3x + 15
2x (x - 5) -3 (x - 5)
(2x - 3) (x - 5)

x^2 - 25 => (x + 5) (x - 5)
so now equation can be rewritten as (2x - 3) (x - 5) / ( (x + 5) (x - 5)

Eliminating (x - 5) in both Numerator and Denominator we get 2x - 3 / x + 5