Algebra Examples

$c - 2 c d + 8 d - 4$

Step 1

Regroup terms.

$- 2 c d + c + 8 d - 4$

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.

$(- 2 c d + c) + 8 d - 4$

Step 2.2

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

$c (- 2 d + 1) - 4 (- 2 d + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 2 d + 1$ .

$(- 2 d + 1) (c - 4)$

Step 4

Factor $- 1$ out of $- 2 d + 1$ .

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Step 4.1

Factor $- 1$ out of $- 2 d$ .

$(- (2 d) + 1) (c - 4)$

Step 4.2

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

$(- (2 d) - 1 (- 1)) (c - 4)$

Step 4.3

Factor $- 1$ out of $- (2 d) - 1 (- 1)$ .

$- (2 d - 1) (c - 4)$