# How do you factor completely: 14bx^2 − 7x^3 − 4b + 2x?

Aug 19, 2015

 color(green)((2b-x)(7x^2-2)

#### Explanation:

$14 b {x}^{2} - 7 {x}^{3} - 4 b + 2 x$

We can factor this expression by making groups of two terms:
$\left(14 b {x}^{2} - 7 {x}^{3}\right) + \left(- 4 b + 2 x\right)$

$7 {x}^{2}$ is common to both the terms in the first group, and $- 2$ is common to both the terms in the second group

$= 7 {x}^{2} \left(2 b - x\right) - 2 \left(2 b - x\right)$
$2 b - x$ is common to both the terms now:

 color(green)((2b-x)(7x^2-2) is the factorised form