Factor 12x+5ay+12y+5ax

$12 x + 5 a y + 12 y + 5 a x$

Step 1

Reorder terms.

$5 a y + 5 a x + 12 x + 12 y$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 a y + 5 a x) + 12 x + 12 y$

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

$5 a (x + y) + 12 (x + y)$

Step 3

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

$(x + y) (5 a + 12)$