Factor by Grouping 3x^2-3bx+xy-by

$3 x^{2} - 3 b x + x y - b y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} - 3 b x) + x y - b y$

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

$3 x (x - b) + y (x - b)$

Step 2

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

$(x - b) (3 x + y)$