Factor 150m^2n^2-240mn^6-360m^3n^2

$150 m^{2} n^{2} - 240 m n^{6} - 360 m^{3} n^{2}$

Step 1

Move $150 m^{2} n^{2}$ .

$- 240 m n^{6} - 360 m^{3} n^{2} + 150 m^{2} n^{2}$

Step 2

Factor $- 30 m n^{2}$ out of $- 240 m n^{6}$ .

$- 30 m n^{2} (8 n^{4}) - 360 m^{3} n^{2} + 150 m^{2} n^{2}$

Step 3

Factor $- 30 m n^{2}$ out of $- 360 m^{3} n^{2}$ .

$- 30 m n^{2} (8 n^{4}) - 30 m n^{2} (12 m^{2}) + 150 m^{2} n^{2}$

Step 4

Factor $- 30 m n^{2}$ out of $150 m^{2} n^{2}$ .

$- 30 m n^{2} (8 n^{4}) - 30 m n^{2} (12 m^{2}) - 30 m n^{2} (- 5 m)$

Step 5

Factor $- 30 m n^{2}$ out of $- 30 m n^{2} (8 n^{4}) - 30 m n^{2} (12 m^{2})$ .

$- 30 m n^{2} (8 n^{4} + 12 m^{2}) - 30 m n^{2} (- 5 m)$

Step 6

Factor $- 30 m n^{2}$ out of $- 30 m n^{2} (8 n^{4} + 12 m^{2}) - 30 m n^{2} (- 5 m)$ .

$- 30 m n^{2} (8 n^{4} + 12 m^{2} - 5 m)$