x^2 -25 over x^2 -3x -10 simplify

Answer 1

To simplify the expression (x^2 - 25)/(x^2 - 3x - 10), we first factor the numerator and denominator:

x^2 - 25 can be factored as (x + 5)(x - 5)
x^2 - 3x - 10 can be factored as (x - 5)(x + 2)

So, the expression becomes:

[(x + 5)(x - 5)] / [(x - 5)(x + 2)]

Now we can cancel out the common factor (x - 5) from the numerator and denominator:

(x + 5) / (x + 2)

Therefore, the simplified form of the expression (x^2 - 25)/(x^2 - 3x - 10) is (x + 5)/(x + 2).