Factor the following polynomial using factor patterns Show all steps

The Solution:
Given the expression below:
[tex]2j^2-24r-4j+12jr[/tex]We are required to factorize the given expression.
Step 1:
We shall rearrange the terms in the given expression as below:
[tex]2j^2-4j+12jr-24r[/tex]Step 2:
We shall factorize the above expression.
[tex]2j(j-2)+12r(j-2)[/tex][tex]\begin{gathered} (2j+12r)(j-2) \\ 2(j+6r)(j-2) \end{gathered}[/tex]Therefore, the correct answer is
[tex]2(j+6r)(j-2)[/tex]