Question

Сократить дробь 5х-15/х^2-9

Answer 1

5х - 15/х^2 - 9 = 5 (х - 3)/(х - 3)(х + 3) = 5/х+3

Answer 2

To simplify the fraction (5x - 15)/(x^2 - 9), we can first factor the numerator and the denominator and then cancel out any common factors. The numerator can be factored as 5(x - 3), and the denominator can be factored as (x + 3)(x - 3). After factoring, we get:

(5x - 15)/(x^2 - 9) = 5(x - 3)/[(x + 3)(x - 3)]

Now, we can cancel out the common factor of (x - 3) in the numerator and the denominator:

(5x - 15)/(x^2 - 9) = 5/(x + 3)

So, the simplified form of the fraction is 5/(x + 3).