Pre-Algebra Examples

$60 x^{2} y^{3} - 36 x^{4} y^{2} + 24 x^{3} y$

Step 1

Reorder $60 x^{2} y^{3}$ and $- 36 x^{4} y^{2}$ .

$- 36 x^{4} y^{2} + 60 x^{2} y^{3} + 24 x^{3} y$

Step 2

Factor $- 12 x^{2} y$ out of $- 36 x^{4} y^{2}$ .

$- 12 x^{2} y (3 x^{2} y) + 60 x^{2} y^{3} + 24 x^{3} y$

Step 3

Factor $- 12 x^{2} y$ out of $60 x^{2} y^{3}$ .

$- 12 x^{2} y (3 x^{2} y) - 12 x^{2} y (- 5 y^{2}) + 24 x^{3} y$

Step 4

Factor $- 12 x^{2} y$ out of $24 x^{3} y$ .

$- 12 x^{2} y (3 x^{2} y) - 12 x^{2} y (- 5 y^{2}) - 12 x^{2} y (- 2 x)$

Step 5

Factor $- 12 x^{2} y$ out of $- 12 x^{2} y (3 x^{2} y) - 12 x^{2} y (- 5 y^{2})$ .

$- 12 x^{2} y (3 x^{2} y - 5 y^{2}) - 12 x^{2} y (- 2 x)$

Step 6

Factor $- 12 x^{2} y$ out of $- 12 x^{2} y (3 x^{2} y - 5 y^{2}) - 12 x^{2} y (- 2 x)$ .

$- 12 x^{2} y (3 x^{2} y - 5 y^{2} - 2 x)$