Factor by Grouping ay-3by+3ax-9bx

$a y - 3 b y + 3 a x - 9 b x$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a y - 3 b y) + 3 a x - 9 b x$

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

$y (a - 3 b) + 3 x (a - 3 b)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $a - 3 b$ .

$(a - 3 b) (y + 3 x)$