3v(3v-2)-(3v-2)Help me factor this please. I know the answer, I want an explanation of how.

We have the following expression
[tex]3v(3v-2)-(3v-2)[/tex]we have 2 terms, one of them is
[tex]3v(3v-2)[/tex]and the other one is
[tex]-(3v-2)[/tex]We can note that (3v-2) is repeated on both terms, so we can factorize (3v-2) in both terms, which gives
so this equivalent to:
therefore, the answer is:
[tex](3v-2)(3v-1)[/tex]