Finite Math Examples

$5 a c + 15 a d - 2 b c - 6 b d$

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.

$(5 a c + 15 a d) - 2 b c - 6 b d$

Step 1.2

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

$5 a (c + 3 d) - 2 b (c + 3 d)$

Step 2

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

$(c + 3 d) (5 a - 2 b)$