Algebra Examples

$12 m^{3} n^{3} - 18 m^{2} n^{2} - 24 m^{4} n^{4}$

Step 1

Reorder the expression.

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Step 1.1

Move $- 18 m^{2} n^{2}$ .

$12 m^{3} n^{3} - 24 m^{4} n^{4} - 18 m^{2} n^{2}$

Step 1.2

Reorder $12 m^{3} n^{3}$ and $- 24 m^{4} n^{4}$ .

$- 24 m^{4} n^{4} + 12 m^{3} n^{3} - 18 m^{2} n^{2}$

Step 2

Factor $- 6 m^{2} n^{2}$ out of $- 24 m^{4} n^{4}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) + 12 m^{3} n^{3} - 18 m^{2} n^{2}$

Step 3

Factor $- 6 m^{2} n^{2}$ out of $12 m^{3} n^{3}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n) - 18 m^{2} n^{2}$

Step 4

Factor $- 6 m^{2} n^{2}$ out of $- 18 m^{2} n^{2}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n) - 6 m^{2} n^{2} (3)$

Step 5

Factor $- 6 m^{2} n^{2}$ out of $- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n)$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2} - 2 m n) - 6 m^{2} n^{2} (3)$

Step 6

Factor $- 6 m^{2} n^{2}$ out of $- 6 m^{2} n^{2} (4 m^{2} n^{2} - 2 m n) - 6 m^{2} n^{2} (3)$ .

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