PLEASE HELP. Simplify this expression!?

Question

Simplify:

2z^3 + 6z^2 + 18z (divided by) z^3 - 27

Will give best answer!!

Answer 1

(2z^3+6z^2+18z)/z^3-27
2z(z^2+3z+9) /(z-3)(z^2+3z+9
2z/(z-3)

Answer 2

In the numerator, you can pull out a 2z from all terms to get 2z(z2 + 3z + 9). The denominator is a difference in cubes, so you can factor that to
(z-3)(z2+3z+9). So poof, the big, bad quadratic divides out to get 2z/(z-3)

Answer 3

(2z^3 + 6z^2 + 18z) / (z^3 - 27)
= [(2z) (z^2 + 3z + 9)] / [(z - 3) (z^2 + 3z + 9)]
= 2z / (z - 3).