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

1 Answer
Mar 2, 2018

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