Basic Math Examples

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

Step 1

Let $u = b$ . Substitute $u$ for all occurrences of $b$ .

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

Step 2

Reorder terms.

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

Step 3

Factor out the greatest common factor from each group.

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Step 3.1

Group the first two terms and the last two terms.

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

Step 3.2

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

$a (a + 5) + u (a + 5)$

Step 4

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

$(a + 5) (a + u)$

Step 5

Replace all occurrences of $u$ with $b$ .

$(a + 5) (a + b)$