Factor 10r^2+25ry-2xr-5xy

$10 r^{2} + 25 r y - 2 x r - 5 x y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(10 r^{2} + 25 r y) - 2 x r - 5 x y$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 r + 5 y$ .

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