Algebra Examples

$12 c^{2} d^{2} - 24 c d^{2} + 6 c^{3} d^{2}$

Step 1

Factor $6 c d^{2}$ out of $12 c^{2} d^{2} - 24 c d^{2} + 6 c^{3} d^{2}$ .

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Step 1.1

Factor $6 c d^{2}$ out of $12 c^{2} d^{2}$ .

$6 c d^{2} (2 c) - 24 c d^{2} + 6 c^{3} d^{2}$

Step 1.2

Factor $6 c d^{2}$ out of $- 24 c d^{2}$ .

$6 c d^{2} (2 c) + 6 c d^{2} (- 4) + 6 c^{3} d^{2}$

Step 1.3

Factor $6 c d^{2}$ out of $6 c^{3} d^{2}$ .

$6 c d^{2} (2 c) + 6 c d^{2} (- 4) + 6 c d^{2} (c^{2})$

Step 1.4

Factor $6 c d^{2}$ out of $6 c d^{2} (2 c) + 6 c d^{2} (- 4)$ .

$6 c d^{2} (2 c - 4) + 6 c d^{2} (c^{2})$

Step 1.5

Factor $6 c d^{2}$ out of $6 c d^{2} (2 c - 4) + 6 c d^{2} (c^{2})$ .

$6 c d^{2} (2 c - 4 + c^{2})$

Step 2

Reorder terms.

$6 c d^{2} (c^{2} + 2 c - 4)$