Algebra Examples

$3 a c - 5 b d + b c - 15 a d$

Step 1

Regroup terms.

$b c + 3 a c - 5 b d - 15 a d$

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.

$(b c + 3 a c) - 5 b d - 15 a d$

Step 2.2

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $b + 3 a$ .

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