Factor pq^2-p^2q^3-2p^3q^5r+p^2q^3r^2

$p q^{2} - p^{2} q^{3} - 2 p^{3} q^{5} r + p^{2} q^{3} r^{2}$

Step 1

Factor $p q^{2}$ out of $p q^{2}$ .

$p q^{2} (1) - p^{2} q^{3} - 2 p^{3} q^{5} r + p^{2} q^{3} r^{2}$

Step 2

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

$p q^{2} (1) + p q^{2} (- p q) - 2 p^{3} q^{5} r + p^{2} q^{3} r^{2}$

Step 3

Factor $p q^{2}$ out of $- 2 p^{3} q^{5} r$ .

$p q^{2} (1) + p q^{2} (- p q) + p q^{2} (- 2 p^{2} q^{3} r) + p^{2} q^{3} r^{2}$

Step 4

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

$p q^{2} (1) + p q^{2} (- p q) + p q^{2} (- 2 p^{2} q^{3} r) + p q^{2} (p q r^{2})$

Step 5

Factor $p q^{2}$ out of $p q^{2} (1) + p q^{2} (- p q)$ .

$p q^{2} (1 - p q) + p q^{2} (- 2 p^{2} q^{3} r) + p q^{2} (p q r^{2})$

Step 6

Factor $p q^{2}$ out of $p q^{2} (1 - p q) + p q^{2} (- 2 p^{2} q^{3} r)$ .

$p q^{2} (1 - p q - 2 p^{2} q^{3} r) + p q^{2} (p q r^{2})$

Step 7

Factor $p q^{2}$ out of $p q^{2} (1 - p q - 2 p^{2} q^{3} r) + p q^{2} (p q r^{2})$ .

$p q^{2} (1 - p q - 2 p^{2} q^{3} r + p q r^{2})$