Algebra Examples

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

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

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$c (- c + 3) + d \cdot (- c + 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- c + 3$ .

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

Step 4

Factor $- 1$ out of $- c + 3$ .

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Step 4.1

Factor $- 1$ out of $- c$ .

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

Step 4.2

Rewrite $3$ as $- 1 (- 3)$ .

$(- (c) - 1 (- 3)) (c + d)$

Step 4.3

Factor $- 1$ out of $- (c) - 1 (- 3)$ .

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