Factor x^2+8x-xy-8y

$x^{2} + 8 x - x y - 8 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{2} + 8 x) - x y - 8 y$

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

$x (x + 8) - y (x + 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 8$ .

$(x + 8) (x - y)$