Factor ax-ay+bx-by

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$a (x - 1 y) + b (x - 1 y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 1 y$ .

$(x - 1 y) (a + b)$

Step 3

Rewrite $- 1 y$ as $- y$ .

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