Factor xz+x+yz+y

$x z + x + y z + y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x z + x) + y z + y$

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

$x (z + 1) + y (z + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $z + 1$ .

$(z + 1) (x + y)$