Question

How do you simplify `(x^3+8) * (6x^3-9x^2)/(3x^3-12x)`?

Answer 1

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

Explanation:

Factorize all the terms to obtain :

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

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