# How do you factor (2-7x) - 3x(2-7x)?

Jun 15, 2018

$\left(2 - 7 x\right) \left(1 - 3 x\right)$

#### Explanation:

$\text{take out the "color(blue)"common factor } \left(2 - 7 x\right)$

$\textcolor{b l u e}{1} \left(2 - 7 x\right) \textcolor{red}{- 3 x} \left(2 - 7 x\right)$

$= \left(2 - 7 x\right) \left(\textcolor{b l u e}{1} \textcolor{red}{- 3 x}\right)$

$= \left(2 - 7 x\right) \left(1 - 3 x\right)$

Jul 12, 2018

$\left(2 - 7 x\right) \left(1 - 3 x\right)$

#### Explanation:

We see that both terms have a $2 - 7 x$ in common. We can factor that out, or essentially divide that by all terms to get

$\left(2 - 7 x\right) \textcolor{b l u e}{\left(1 - 3 x\right)}$

The blue represents what's left after we factor.

Hope this helps!