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

Jan 3, 2016

$\left(4 x + 3\right) \left(x - 2\right)$

#### Explanation:

Factor a $- 1$ term out of the $\left(2 - x\right)$. This will turn it into $- \left(x - 2\right)$.

$3 \left(x - 2\right) - 4 x \left(- \left(x - 2\right)\right)$

$= 3 \left(x - 2\right) + 4 x \left(x - 2\right)$

Now, this resembles what would come out of a factor by grouping problem. Notice how the $\left(x - 2\right)$ term is common to both the $3 \left(x - 2\right)$ and the $4 x \left(x - 2\right)$.

$= \left(4 x + 3\right) \left(x - 2\right)$