Algebra Examples

$12 a^{3} + 4 a^{2} + 3 a b + b$

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.

$(12 a^{3} + 4 a^{2}) + 3 a b + b$

Step 1.2

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

$4 a^{2} (3 a + 1) + b (3 a + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 a + 1$ .

$(3 a + 1) (4 a^{2} + b)$