Pre-Algebra Examples

$3 a x - 5 a - 6 b x + 10 b$

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.

$(3 a x - 5 a) - 6 b x + 10 b$

Step 1.2

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 5$ .

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