Factor by Grouping 8z^2+40z-az-5a

$8 z^{2} + 40 z - a z - 5 a$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 z^{2} + 40 z) - a z - 5 a$

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

$8 z (z + 5) - a (z + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $z + 5$ .

$(z + 5) (8 z - a)$