Question

Simplify x squared - 9/ x squared - 3x

Answer 1

see explanation

Explanation:

Given

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

Factorise the numerator/denominator

x² - 9 = (x - 3)(x + 3) ← difference of squares

x² - 3x = x(x - 3) ← common factor of x

The fraction simplifies to

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

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