Pre-Algebra Examples

$8 x^{2} y^{4} - 12 x^{5} y^{3} + 4 x^{2} y^{3}$

Step 1

Reorder $8 x^{2} y^{4}$ and $- 12 x^{5} y^{3}$ .

$- 12 x^{5} y^{3} + 8 x^{2} y^{4} + 4 x^{2} y^{3}$

Step 2

Factor $- 4 x^{2} y^{3}$ out of $- 12 x^{5} y^{3}$ .

$- 4 x^{2} y^{3} (3 x^{3}) + 8 x^{2} y^{4} + 4 x^{2} y^{3}$

Step 3

Factor $- 4 x^{2} y^{3}$ out of $8 x^{2} y^{4}$ .

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

Step 4

Factor $- 4 x^{2} y^{3}$ out of $4 x^{2} y^{3}$ .

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

Step 5

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

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

Step 6

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

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