# How do you simplify (4x - 1)(2x - 1)(3x - 2)?

Apr 3, 2018

$24 {x}^{3} - 34 {x}^{2} + 15 x - 2$

#### Explanation:

(4x-1)(2x-1) expanded first:

$8 {x}^{2} - 4 x - 2 x + 1 = 8 {x}^{2} - 6 x + 1$

Now multiply $\left(8 {x}^{2} - 6 x + 1\right) \left(3 x - 2\right)$

$\implies$ $24 {x}^{3} - 16 {x}^{2} - 18 {x}^{2} + 12 x + 3 x - 2$

$\implies$ $24 {x}^{3} - 34 {x}^{2} + 15 x - 2$