Factor 4y-10xy+35x-14

$4 y - 10 x y + 35 x - 14$

Step 1

Reorder terms.

$- 10 x y + 35 x + 4 y - 14$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 10 x y + 35 x) + 4 y - 14$

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

$5 x (- 2 y + 7) - 2 (- 2 y + 7)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 2 y + 7$ .

$(- 2 y + 7) (5 x - 2)$

Step 4

Factor $- 1$ out of $- 2 y + 7$ .

Factor $- 1$ out of $- 2 y$ .

$(- (2 y) + 7) (5 x - 2)$

Rewrite $7$ as $- 1 (- 7)$ .

$(- (2 y) - 1 (- 7)) (5 x - 2)$

Factor $- 1$ out of $- (2 y) - 1 (- 7)$ .

$- (2 y - 7) (5 x - 2)$