Question

How do you simplify `(9x^3)/(12x-24)div(x^2+4x)/(x-2)`?

Answer 1

`(3x^2)/(4(x+4))`

Explanation:

The first step is to factor where possible and to change the division to a multiplication by the reciprocal

`(9x^3)/(12(x-2)) xx (x-2)/(x(x+4))" "larr` take out common factors

`(9x^3)/(12(cancel(x-2))) xx cancel((x-2))/(x(x+4))" "larr` simplify

`(3x^2)/(4(x+4))`