Factor 16xy-3x-6x^2+8y

$16 x y - 3 x - 6 x^{2} + 8 y$

Step 1

Reorder terms.

$- 6 x^{2} + 16 x y - 3 x + 8 y$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 6 x^{2} + 16 x y) - 3 x + 8 y$

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

$2 x (- 3 x + 8 y) + 1 (- 3 x + 8 y)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 3 x + 8 y$ .

$(- 3 x + 8 y) (2 x + 1)$

Step 4

Factor $- 1$ out of $- 3 x + 8 y$ .

Factor $- 1$ out of $- 3 x$ .

$(- (3 x) + 8 y) (2 x + 1)$

Factor $- 1$ out of $8 y$ .

$(- (3 x) - (- 8 y)) (2 x + 1)$

Factor $- 1$ out of $- (3 x) - (- 8 y)$ .

$- (3 x - 8 y) (2 x + 1)$