Algebra Examples

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

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.

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

Step 1.2

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

$4 a (3 a - 1 c) + b (3 a - 1 c)$

Step 2

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

$(3 a - 1 c) (4 a + b)$

Step 3

Rewrite $- 1 c$ as $- c$ .

$(3 a - c) (4 a + b)$