Pre-Algebra Examples

$5 a + 10$ , $a^{2} + 2 a$

Step 1

Reorder terms.

$a^{2} + 5 a + 2 a + 10$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(a^{2} + 5 a) + 2 a + 10$

Step 2.2

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

$a (a + 5) + 2 (a + 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $a + 5$ .

$(a + 5) (a + 2)$