Finite Math Examples

$12 b c - 4 b d - 15 x c + 5 x d$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$(12 b c - 4 b d) - 15 x c + 5 x d$

Step 1.2

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

$4 b (3 c - 1 d) - 5 x (3 c - 1 d)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 c - 1 d$ .

$(3 c - 1 d) (4 b - 5 x)$

Step 3

Rewrite $- 1 d$ as $- d$ .

$(3 c - d) (4 b - 5 x)$