Factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5

$3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}$

Step 1

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

$a^{2} b (3) + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}$

Step 2

Factor $a^{2} b$ out of $6 a^{3} b^{2}$ .

$a^{2} b (3) + a^{2} b (6 a b) - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}$

Step 3

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

$a^{2} b (3) + a^{2} b (6 a b) + a^{2} b (- 5 a^{2} b^{2}) + 8 a^{5} b^{4} + 4 a^{6} b^{5}$

Step 4

Factor $a^{2} b$ out of $8 a^{5} b^{4}$ .

$a^{2} b (3) + a^{2} b (6 a b) + a^{2} b (- 5 a^{2} b^{2}) + a^{2} b (8 a^{3} b^{3}) + 4 a^{6} b^{5}$

Step 5

Factor $a^{2} b$ out of $4 a^{6} b^{5}$ .

$a^{2} b (3) + a^{2} b (6 a b) + a^{2} b (- 5 a^{2} b^{2}) + a^{2} b (8 a^{3} b^{3}) + a^{2} b (4 a^{4} b^{4})$

Step 6

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

$a^{2} b (3 + 6 a b) + a^{2} b (- 5 a^{2} b^{2}) + a^{2} b (8 a^{3} b^{3}) + a^{2} b (4 a^{4} b^{4})$

Step 7

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

$a^{2} b (3 + 6 a b - 5 a^{2} b^{2}) + a^{2} b (8 a^{3} b^{3}) + a^{2} b (4 a^{4} b^{4})$

Step 8

Factor $a^{2} b$ out of $a^{2} b (3 + 6 a b - 5 a^{2} b^{2}) + a^{2} b (8 a^{3} b^{3})$ .

$a^{2} b (3 + 6 a b - 5 a^{2} b^{2} + 8 a^{3} b^{3}) + a^{2} b (4 a^{4} b^{4})$

Step 9

Factor $a^{2} b$ out of $a^{2} b (3 + 6 a b - 5 a^{2} b^{2} + 8 a^{3} b^{3}) + a^{2} b (4 a^{4} b^{4})$ .

$a^{2} b (3 + 6 a b - 5 a^{2} b^{2} + 8 a^{3} b^{3} + 4 a^{4} b^{4})$