Factor by Grouping xy+3y-7x-21

$x y + 3 y - 7 x - 21$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x y + 3 y) - 7 x - 21$

Factor out the greatest common factor (GCF) from each group.

$y (x + 3) - 7 (x + 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 3$ .

$(x + 3) (y - 7)$