Question 12384
Factor:

{{{6vw + 18v - 7w - 21}}} Factor by grouping.

{{{(6vw + 18v) - (7w + 21)}}} Factor 6v from the 1st group and 7 from the 2nd group.

{{{6v(w + 3) - 7(w + 3)}}} Now factor the (w + 3).

{{{(w + 3)(6v - 7)}}} And that's as far as you can go.