Question

Simplify
x² - 9 / х^2 - 3x

Answer 1

Here is the answer!:)

Answer 2

`(x+3)/(x)`

Explanation:

Factorise numerator and denominator

x² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 9

= x² - 3² = (x - 3)(x + 3)

x² - 3x ← factor out x from each term

= x(x - 3)

Then

`(x^2-9)/(x^2-3x)`

=
`((x-3)(x+3))/(x(x-3))` ← cancel common factor (x - 3) on numerator/denominator

=
`(x+3)/(x)`