Answer:
(x^2 - 9) / (x^2 - 3x) is (x + 3) / x.
Explanation:
Factor the numerator (x^2 - 9):
x^2 - 9 = (x - 3)(x + 3)
Factor the denominator (x^2 - 3x):
x^2 - 3x = x(x - 3)
Rewrite the expression:
(x^2 - 9) / (x^2 - 3x) = [(x - 3)(x + 3)] / [x(x - 3)]
Simplify by canceling out the common factor of (x - 3):
(x^2 - 9) / (x^2 - 3x) = (x + 3) / x