Factor by Grouping ac+xc+aw^2+xw^2

$a c + x c + a w^{2} + x w^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a c + x c) + a w^{2} + x w^{2}$

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

$c (a + x) + w^{2} (a + x)$

Step 2

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

$(a + x) (c + w^{2})$