Factor 10xy-4x-5y+2

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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