Factor 35a^2-20ab^2+15a

$35 a^{2} - 20 a b^{2} + 15 a$

Step 1

Reorder $35 a^{2}$ and $- 20 a b^{2}$ .

$- 20 a b^{2} + 35 a^{2} + 15 a$

Step 2

Factor $- 5 a$ out of $- 20 a b^{2}$ .

$- 5 a (4 b^{2}) + 35 a^{2} + 15 a$

Step 3

Factor $- 5 a$ out of $35 a^{2}$ .

$- 5 a (4 b^{2}) - 5 a (- 7 a) + 15 a$

Step 4

Factor $- 5 a$ out of $15 a$ .

$- 5 a (4 b^{2}) - 5 a (- 7 a) - 5 a (- 3)$

Step 5

Factor $- 5 a$ out of $- 5 a (4 b^{2}) - 5 a (- 7 a)$ .

$- 5 a (4 b^{2} - 7 a) - 5 a (- 3)$

Step 6

Factor $- 5 a$ out of $- 5 a (4 b^{2} - 7 a) - 5 a (- 3)$ .

$- 5 a (4 b^{2} - 7 a - 3)$