Factor -8p^4qr^2-4p^3q^3r^2

$- 8 p^{4} q r^{2} - 4 p^{3} q^{3} r^{2}$

Step 1

Reorder $- 8 p^{4} q r^{2}$ and $- 4 p^{3} q^{3} r^{2}$ .

$- 4 p^{3} q^{3} r^{2} - 8 p^{4} q r^{2}$

Step 2

Factor $- 4 p^{3} q r^{2}$ out of $- 4 p^{3} q^{3} r^{2}$ .

$- 4 p^{3} q r^{2} (q^{2}) - 8 p^{4} q r^{2}$

Step 3

Factor $- 4 p^{3} q r^{2}$ out of $- 8 p^{4} q r^{2}$ .

$- 4 p^{3} q r^{2} (q^{2}) - 4 p^{3} q r^{2} (2 p)$

Step 4

Factor $- 4 p^{3} q r^{2}$ out of $- 4 p^{3} q r^{2} (q^{2}) - 4 p^{3} q r^{2} (2 p)$ .

$- 4 p^{3} q r^{2} (q^{2} + 2 p)$