Pre-Algebra Examples

$27 c d^{2} - 18 c^{2} d^{2} + 3 c d$

Step 1

Reorder $27 c d^{2}$ and $- 18 c^{2} d^{2}$ .

$- 18 c^{2} d^{2} + 27 c d^{2} + 3 c d$

Step 2

Factor $- 3 c d$ out of $- 18 c^{2} d^{2}$ .

$- 3 c d (6 c d) + 27 c d^{2} + 3 c d$

Step 3

Factor $- 3 c d$ out of $27 c d^{2}$ .

$- 3 c d (6 c d) - 3 c d (- 9 d) + 3 c d$

Step 4

Factor $- 3 c d$ out of $3 c d$ .

$- 3 c d (6 c d) - 3 c d (- 9 d) - 3 c d (- 1)$

Step 5

Factor $- 3 c d$ out of $- 3 c d (6 c d) - 3 c d (- 9 d)$ .

$- 3 c d (6 c d - 9 d) - 3 c d (- 1)$

Step 6

Factor $- 3 c d$ out of $- 3 c d (6 c d - 9 d) - 3 c d (- 1)$ .

$- 3 c d (6 c d - 9 d - 1)$