Algebra Examples

Factor: $42 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}$

Step 1

Factor $3 p^{2}$ out of $42 p^{4}$ .

$3 p^{2} (14 p^{2}) + 9 p^{3} q^{2} - 18 p^{2} q^{2}$

Step 2

Factor $3 p^{2}$ out of $9 p^{3} q^{2}$ .

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

Step 3

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

$3 p^{2} (14 p^{2}) + 3 p^{2} (3 p q^{2}) + 3 p^{2} (- 6 q^{2})$

Step 4

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

$3 p^{2} (14 p^{2} + 3 p q^{2}) + 3 p^{2} (- 6 q^{2})$

Step 5

Factor $3 p^{2}$ out of $3 p^{2} (14 p^{2} + 3 p q^{2}) + 3 p^{2} (- 6 q^{2})$ .

$3 p^{2} (14 p^{2} + 3 p q^{2} - 6 q^{2})$