Factor 4ax+ay+12x^2+3xy

$4 a x + a y + 12 x^{2} + 3 x y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 a x + a y) + 12 x^{2} + 3 x y$

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

$a (4 x + y) + 3 x (4 x + y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 x + y$ .

$(4 x + y) (a + 3 x)$