Algebra Examples

$q^{2} + q + 5 p q + 5 p$

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.

$(q^{2} + q) + 5 p q + 5 p$

Step 1.2

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

$q (q + 1) + 5 p (q + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $q + 1$ .

$(q + 1) (q + 5 p)$