Algebra Examples

$10 p^{2} q^{3} + 14 p^{3} q^{2} - 18 p^{4} q^{3} - 16 p^{5} q^{4}$

Step 1

Factor $2 p^{2} q^{2}$ out of $10 p^{2} q^{3}$ .

$2 p^{2} q^{2} (5 q) + 14 p^{3} q^{2} - 18 p^{4} q^{3} - 16 p^{5} q^{4}$

Step 2

Factor $2 p^{2} q^{2}$ out of $14 p^{3} q^{2}$ .

$2 p^{2} q^{2} (5 q) + 2 p^{2} q^{2} (7 p) - 18 p^{4} q^{3} - 16 p^{5} q^{4}$

Step 3

Factor $2 p^{2} q^{2}$ out of $- 18 p^{4} q^{3}$ .

$2 p^{2} q^{2} (5 q) + 2 p^{2} q^{2} (7 p) + 2 p^{2} q^{2} (- 9 p^{2} q) - 16 p^{5} q^{4}$

Step 4

Factor $2 p^{2} q^{2}$ out of $- 16 p^{5} q^{4}$ .

$2 p^{2} q^{2} (5 q) + 2 p^{2} q^{2} (7 p) + 2 p^{2} q^{2} (- 9 p^{2} q) + 2 p^{2} q^{2} (- 8 p^{3} q^{2})$

Step 5

Factor $2 p^{2} q^{2}$ out of $2 p^{2} q^{2} (5 q) + 2 p^{2} q^{2} (7 p)$ .

$2 p^{2} q^{2} (5 q + 7 p) + 2 p^{2} q^{2} (- 9 p^{2} q) + 2 p^{2} q^{2} (- 8 p^{3} q^{2})$

Step 6

Factor $2 p^{2} q^{2}$ out of $2 p^{2} q^{2} (5 q + 7 p) + 2 p^{2} q^{2} (- 9 p^{2} q)$ .

$2 p^{2} q^{2} (5 q + 7 p - 9 p^{2} q) + 2 p^{2} q^{2} (- 8 p^{3} q^{2})$

Step 7

Factor $2 p^{2} q^{2}$ out of $2 p^{2} q^{2} (5 q + 7 p - 9 p^{2} q) + 2 p^{2} q^{2} (- 8 p^{3} q^{2})$ .

$2 p^{2} q^{2} (5 q + 7 p - 9 p^{2} q - 8 p^{3} q^{2})$