Factor 4+5xy-10y-2x

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 3

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

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