Answer:
[tex]1 + \frac{3}{x} [/tex]
Step-by-step explanation:
1) Rewrite x² - 9 in the form a² - b² where, a = x and b = 3.
[tex] \frac{ {x}^{2} - {3}^{2} }{ {x}^{2} - 3x} [/tex]
2) use difference of squares: a² - b² = ( a + b ) (a - b).
[tex] \frac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]
3) Factor out the common term x.
[tex] \frac{(x + 3)(x - 3)}{ x(x - 3)} [/tex]
4) Cancle out x - 3 .
[tex] \frac{x + 3}{x} [/tex]
5) Simplify.
[tex]1 + \frac{3}{x} [/tex]
Therefor, the answer is 1 + 3/x.
