Algebra Examples

$12 a^{2} - 15 a b - 16 a + 20 b$

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.

$(12 a^{2} - 15 a b) - 16 a + 20 b$

Step 1.2

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

$3 a (4 a - 5 b) - 4 (4 a - 5 b)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 a - 5 b$ .

$(4 a - 5 b) (3 a - 4)$