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

Oct 12, 2015

#### Answer:

$\frac{x \left(2 x - 3\right) \left({x}^{2} - 2 x + 4\right)}{x - 2}$

#### Explanation:

Factorize all the terms to obtain :

$\left(x + 2\right) \left({x}^{2} - 2 x + 4\right) \cdot \frac{3 {x}^{2} \left(2 x - 3\right)}{3 x \left(x + 2\right) \left(x - 2\right)}$

$= \frac{x \left(2 x - 3\right) \left({x}^{2} - 2 x + 4\right)}{x - 2}$