Factor 5x^2-25x-30y+6xy

$5 x^{2} - 25 x - 30 y + 6 x y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{2} - 25 x) - 30 y + 6 x y$

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

$5 x (x - 5) + 6 y (x - 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 5$ .

$(x - 5) (5 x + 6 y)$