Factor by Grouping 2x-4xy+10y-5

$2 x - 4 x y + 10 y - 5$

Reorder terms.

$- 4 x y + 2 x + 10 y - 5$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 4 x y + 2 x) + 10 y - 5$

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

$2 x (- 2 y + 1) - 5 (- 2 y + 1)$

Factor the polynomial by factoring out the greatest common factor, $- 2 y + 1$ .

$(- 2 y + 1) (2 x - 5)$