Factor x^2y-3x^2+5xy-15x

$x^{2} y - 3 x^{2} + 5 x y - 15 x$

Factor $x$ out of $x^{2} y - 3 x^{2} + 5 x y - 15 x$ .

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

$x (x y) - 3 x^{2} + 5 x y - 15 x$

Factor $x$ out of $- 3 x^{2}$ .

$x (x y) + x (- 3 x) + 5 x y - 15 x$

Factor $x$ out of $5 x y$ .

$x (x y) + x (- 3 x) + x (5 y) - 15 x$

Factor $x$ out of $- 15 x$ .

$x (x y) + x (- 3 x) + x (5 y) + x \cdot - 15$

Factor $x$ out of $x (x y) + x (- 3 x)$ .

$x (x y - 3 x) + x (5 y) + x \cdot - 15$

Factor $x$ out of $x (x y - 3 x) + x (5 y)$ .

$x (x y - 3 x + 5 y) + x \cdot - 15$

Factor $x$ out of $x (x y - 3 x + 5 y) + x \cdot - 15$ .

$x (x y - 3 x + 5 y - 15)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$x ((x y - 3 x) + 5 y - 15)$

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

$x (x (y - 3) + 5 (y - 3))$

Factor.

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

$x ((y - 3) (x + 5))$

Remove unnecessary parentheses.

$x (y - 3) (x + 5)$