Question

How do you simplify `(5x) /(x^2 - 9)*(6x + 18) / (15x^3)`?

Answer 1

the answer is `(2)/(x^2(x-3))`

Explanation:

first factor `(x^2-9)` since it's a difference of two squares. then factor out `6x+18` so at this point, you have: `(5x)/((x-3)(x+3))*(6(x+3))/(15x^3)` now you see that you can cancel `(x+3)` since there's two of them. now you can divide `5` into `15` but now you can divide `3` into the `6` on top of it. at this point, you have `x/(x-3)*2/(x^3)` as you can see, you can take out one `x` from `x^3` so that will only leave you with your answer