Algebra Examples

$x^{2} y^{3} + 5 x y^{2} + 3 x^{3} y^{3} - 2 x^{4} y$

Step 1

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

$x y (x y^{2}) + 5 x y^{2} + 3 x^{3} y^{3} - 2 x^{4} y$

Step 2

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

$x y (x y^{2}) + x y (5 y) + 3 x^{3} y^{3} - 2 x^{4} y$

Step 3

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

$x y (x y^{2}) + x y (5 y) + x y (3 x^{2} y^{2}) - 2 x^{4} y$

Step 4

Factor $x y$ out of $- 2 x^{4} y$ .

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

Step 5

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

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

Step 6

Factor $x y$ out of $x y (x y^{2} + 5 y) + x y (3 x^{2} y^{2})$ .

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

Step 7

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

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