Factor 12m^2n+24m^3n^2-36m^4n^3+48m^5n^4

$12 m^{2} n + 24 m^{3} n^{2} - 36 m^{4} n^{3} + 48 m^{5} n^{4}$

Step 1

Factor $12 m^{2} n$ out of $12 m^{2} n$ .

$12 m^{2} n (1) + 24 m^{3} n^{2} - 36 m^{4} n^{3} + 48 m^{5} n^{4}$

Step 2

Factor $12 m^{2} n$ out of $24 m^{3} n^{2}$ .

$12 m^{2} n (1) + 12 m^{2} n (2 m n) - 36 m^{4} n^{3} + 48 m^{5} n^{4}$

Step 3

Factor $12 m^{2} n$ out of $- 36 m^{4} n^{3}$ .

$12 m^{2} n (1) + 12 m^{2} n (2 m n) + 12 m^{2} n (- 3 m^{2} n^{2}) + 48 m^{5} n^{4}$

Step 4

Factor $12 m^{2} n$ out of $48 m^{5} n^{4}$ .

$12 m^{2} n (1) + 12 m^{2} n (2 m n) + 12 m^{2} n (- 3 m^{2} n^{2}) + 12 m^{2} n (4 m^{3} n^{3})$

Step 5

Factor $12 m^{2} n$ out of $12 m^{2} n (1) + 12 m^{2} n (2 m n)$ .

$12 m^{2} n (1 + 2 m n) + 12 m^{2} n (- 3 m^{2} n^{2}) + 12 m^{2} n (4 m^{3} n^{3})$

Step 6

Factor $12 m^{2} n$ out of $12 m^{2} n (1 + 2 m n) + 12 m^{2} n (- 3 m^{2} n^{2})$ .

$12 m^{2} n (1 + 2 m n - 3 m^{2} n^{2}) + 12 m^{2} n (4 m^{3} n^{3})$

Step 7

Factor $12 m^{2} n$ out of $12 m^{2} n (1 + 2 m n - 3 m^{2} n^{2}) + 12 m^{2} n (4 m^{3} n^{3})$ .

$12 m^{2} n (1 + 2 m n - 3 m^{2} n^{2} + 4 m^{3} n^{3})$