Precalculus Examples

$30 u v + 30 u + 36 u^{2} + 25 v$

Step 1

Reorder terms.

$36 u^{2} + 30 u v + 30 u + 25 v$

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.

$(36 u^{2} + 30 u v) + 30 u + 25 v$

Step 2.2

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

$6 u (6 u + 5 v) + 5 (6 u + 5 v)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $6 u + 5 v$ .

$(6 u + 5 v) (6 u + 5)$