Algebra Examples

$- 6 a m^{2} + 9 m^{3} - 12 m^{4}$

Step 1

Reorder the expression.

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Step 1.1

Move $9 m^{3}$ .

$- 6 a m^{2} - 12 m^{4} + 9 m^{3}$

Step 1.2

Reorder $- 6 a m^{2}$ and $- 12 m^{4}$ .

$- 12 m^{4} - 6 a m^{2} + 9 m^{3}$

Step 2

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

$- 3 m^{2} (4 m^{2}) - 6 a m^{2} + 9 m^{3}$

Step 3

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

$- 3 m^{2} (4 m^{2}) - 3 m^{2} (2 a) + 9 m^{3}$

Step 4

Factor $- 3 m^{2}$ out of $9 m^{3}$ .

$- 3 m^{2} (4 m^{2}) - 3 m^{2} (2 a) - 3 m^{2} (- 3 m)$

Step 5

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

$- 3 m^{2} (4 m^{2} + 2 a) - 3 m^{2} (- 3 m)$

Step 6

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

$- 3 m^{2} (4 m^{2} + 2 a - 3 m)$