Algebra Examples

$a b - 3 b + b^{2} - 3 a$

Step 1

Regroup terms.

$b^{2} + a b - 3 b - 3 a$

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.

$(b^{2} + a b) - 3 b - 3 a$

Step 2.2

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

$b (b + a) - 3 (b + a)$

Step 3

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

$(b + a) (b - 3)$