Factor by Grouping 4x^2-20xy-7x+35y

$4 x^{2} - 20 x y - 7 x + 35 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{2} - 20 x y) - 7 x + 35 y$

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

$4 x (x - 5 y) - 7 (x - 5 y)$

Step 2

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

$(x - 5 y) (4 x - 7)$