Answer:
![2(3x^2-8x+4)](https://img.qammunity.org/2023/formulas/mathematics/college/wzr19g687ogw3pf3wndjzipgqde73f496t.png)
Step-by-step explanation:
Here, we want to factor out the GCF from the given expression
We start by opening up the brackets and summing up the like terms as follows:
![\begin{gathered} 6x(x-2)\text{ +4\lparen2-x\rparen} \\ =\text{ 6x}^2-12x+8-4x \\ =\text{ 6x}^2-12x-4x+8 \\ =\text{ 6x}^2-16x+8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hnisnk18ahysq8eau5eje1vb5z9afdvf6u.png)
To factor this out, we use the greatest factor of the 3
Thus, we have that as:
![2(3x^2-8x+4)](https://img.qammunity.org/2023/formulas/mathematics/college/wzr19g687ogw3pf3wndjzipgqde73f496t.png)