Algebra Examples

$9 a^{5} b - 12 a^{2} b^{3} + 15 a b^{2} - 18 a^{3} b^{4}$

Step 1

Factor $3 a b$ out of $9 a^{5} b$ .

$3 a b (3 a^{4}) - 12 a^{2} b^{3} + 15 a b^{2} - 18 a^{3} b^{4}$

Step 2

Factor $3 a b$ out of $- 12 a^{2} b^{3}$ .

$3 a b (3 a^{4}) + 3 a b (- 4 a b^{2}) + 15 a b^{2} - 18 a^{3} b^{4}$

Step 3

Factor $3 a b$ out of $15 a b^{2}$ .

$3 a b (3 a^{4}) + 3 a b (- 4 a b^{2}) + 3 a b (5 b) - 18 a^{3} b^{4}$

Step 4

Factor $3 a b$ out of $- 18 a^{3} b^{4}$ .

$3 a b (3 a^{4}) + 3 a b (- 4 a b^{2}) + 3 a b (5 b) + 3 a b (- 6 a^{2} b^{3})$

Step 5

Factor $3 a b$ out of $3 a b (3 a^{4}) + 3 a b (- 4 a b^{2})$ .

$3 a b (3 a^{4} - 4 a b^{2}) + 3 a b (5 b) + 3 a b (- 6 a^{2} b^{3})$

Step 6

Factor $3 a b$ out of $3 a b (3 a^{4} - 4 a b^{2}) + 3 a b (5 b)$ .

$3 a b (3 a^{4} - 4 a b^{2} + 5 b) + 3 a b (- 6 a^{2} b^{3})$

Step 7

Factor $3 a b$ out of $3 a b (3 a^{4} - 4 a b^{2} + 5 b) + 3 a b (- 6 a^{2} b^{3})$ .

$3 a b (3 a^{4} - 4 a b^{2} + 5 b - 6 a^{2} b^{3})$