Algebra Examples

$7 a c - 2 b d + b c - 14 a d$

Step 1

Regroup terms.

$b c + 7 a c - 2 b d - 14 a d$

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.

$(b c + 7 a c) - 2 b d - 14 a d$

Step 2.2

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

$c (b + 7 a) - 2 d (b + 7 a)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $b + 7 a$ .

$(b + 7 a) (c - 2 d)$