What expression is equivalent to 9-x^2 / x^2 divided by 3+x/x^3 when x doesn't equal-3,0

Step-by-step explanation:

Well ... if you remember that a^2 - b^2 = (a+b). (a-b), you solve the numerator of the question ...

Rewriting that, You'll find (3+x). (3-x) / x^2

When you divide it by (3+x) / x^2 you'll see a product just like that:

(3+x). (3-x) / x^2. x^3 / (3+x)

Right now it's simple because you have to write in a simplest form:

x. (3-x) = 3x - x^2

You can write this on your notebook to see these division of binomials and writing in a simplest form.