Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Factor $x y$ out of $5 x y^{2}$ .

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

Step 4

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

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

Step 5

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

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

Step 6

Factor $x y$ out of $x y (2 x^{2} - x) + x y (5 y)$ .

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

Step 7

Factor $x y$ out of $x y (2 x^{2} - x + 5 y) + x y (y^{2})$ .

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