Factor 4x^3-x^2y+8xy-2y^2

$4 x^{3} - x^{2} y + 8 x y - 2 y^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{3} - x^{2} y) + 8 x y - 2 y^{2}$

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

$x^{2} (4 x - 1 y) + 2 y (4 x - y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 x - 1 y$ .

$(4 x - 1 y) (x^{2} + 2 y)$

Step 3

Rewrite $- 1 y$ as $- y$ .

$(4 x - y) (x^{2} + 2 y)$