Factor x^4y+8x^3y-6x^2y^2-48xy^2

$x^{4} y + 8 x^{3} y - 6 x^{2} y^{2} - 48 x y^{2}$

Factor $x y$ out of $x^{4} y + 8 x^{3} y - 6 x^{2} y^{2} - 48 x y^{2}$ .

Factor $x y$ out of $x^{4} y$ .

$x y (x^{3}) + 8 x^{3} y - 6 x^{2} y^{2} - 48 x y^{2}$

Factor $x y$ out of $8 x^{3} y$ .

$x y (x^{3}) + x y (8 x^{2}) - 6 x^{2} y^{2} - 48 x y^{2}$

Factor $x y$ out of $- 6 x^{2} y^{2}$ .

$x y (x^{3}) + x y (8 x^{2}) + x y (- 6 x y) - 48 x y^{2}$

Factor $x y$ out of $- 48 x y^{2}$ .

$x y (x^{3}) + x y (8 x^{2}) + x y (- 6 x y) + x y (- 48 y)$

Factor $x y$ out of $x y (x^{3}) + x y (8 x^{2})$ .

$x y (x^{3} + 8 x^{2}) + x y (- 6 x y) + x y (- 48 y)$

Factor $x y$ out of $x y (x^{3} + 8 x^{2}) + x y (- 6 x y)$ .

$x y (x^{3} + 8 x^{2} - 6 x y) + x y (- 48 y)$

Factor $x y$ out of $x y (x^{3} + 8 x^{2} - 6 x y) + x y (- 48 y)$ .

$x y (x^{3} + 8 x^{2} - 6 x y - 48 y)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$x y ((x^{3} + 8 x^{2}) - 6 x y - 48 y)$

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

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

Factor.

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

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

Remove unnecessary parentheses.

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