Algebra Examples

$6 a^{2} - 4 a c - 15 a b + 10 b c$

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.

$(6 a^{2} - 4 a c) - 15 a b + 10 b c$

Step 1.2

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

$2 a (3 a - 2 c) - 5 b (3 a - 2 c)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 a - 2 c$ .

$(3 a - 2 c) (2 a - 5 b)$