# How do you simplify (3x^2 - 6x)/ (2x + 1) * (4x + 2 )/( x - 2)?

Sep 21, 2015

$6 x$

#### Explanation:

$\frac{3 {x}^{2} - 6 x}{2 x + 1} \cdot \frac{4 x + 2}{x - 2} \implies$ Factor all possible terms:

$= \frac{3 x \left(x - 2\right)}{2 x + 1} \cdot \frac{2 \left(2 x + 1\right)}{x - 2} \implies$Cancel common terms:

$= \frac{3 x \left(\cancel{x - 2}\right)}{2 x + 1} \cdot \frac{2 \left(2 x + 1\right)}{\cancel{x - 2}} \implies$ Also:

$= \frac{3 x}{\cancel{2 x + 1}} \cdot \frac{2 \left(\cancel{2 x + 1}\right)}{1} \implies$ You get:

$= 6 x$