Factor by Grouping 8x^2-10xy+20xy-25y^2

$8 x^{2} - 10 x y + 20 x y - 25 y^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{2} - 10 x y) + 20 x y - 25 y^{2}$

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

$2 x (4 x - 5 y) + 5 y (4 x - 5 y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 x - 5 y$ .

$(4 x - 5 y) (2 x + 5 y)$