Algebra Examples

$5 x y^{2} + 20 x y - 15 x^{3} y^{4}$

Step 1

Factor $- 5 x y$ out of $5 x y^{2} + 20 x y - 15 x^{3} y^{4}$ .

Tap for more steps...

Step 1.1

Reorder the expression.

Tap for more steps...

Step 1.1.1

Move $20 x y$ .

$5 x y^{2} - 15 x^{3} y^{4} + 20 x y$

Step 1.1.2

Reorder $5 x y^{2}$ and $- 15 x^{3} y^{4}$ .

$- 15 x^{3} y^{4} + 5 x y^{2} + 20 x y$

Step 1.2

Factor $- 5 x y$ out of $- 15 x^{3} y^{4}$ .

$- 5 x y (3 x^{2} y^{3}) + 5 x y^{2} + 20 x y$

Step 1.3

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

$- 5 x y (3 x^{2} y^{3}) - 5 x y (- 1 y) + 20 x y$

Step 1.4

Factor $- 5 x y$ out of $20 x y$ .

$- 5 x y (3 x^{2} y^{3}) - 5 x y (- 1 y) - 5 x y (- 4)$

Step 1.5

Factor $- 5 x y$ out of $- 5 x y (3 x^{2} y^{3}) - 5 x y (- 1 y)$ .

$- 5 x y (3 x^{2} y^{3} - 1 y) - 5 x y (- 4)$

Step 1.6

Factor $- 5 x y$ out of $- 5 x y (3 x^{2} y^{3} - 1 y) - 5 x y (- 4)$ .

$- 5 x y (3 x^{2} y^{3} - 1 y - 4)$

Step 2

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

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