Factor ax+by+ay+bx

$a x + b y + a y + b x$

Step 1

Regroup terms.

$a y + a x + b y + b x$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 3

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

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