Algebra Examples

$5 m n + 25 m + 3 n^{3} + 15 n^{2}$

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.

$(5 m n + 25 m) + 3 n^{3} + 15 n^{2}$

Step 1.2

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

$5 m (n + 5) + 3 n^{2} (n + 5)$

Step 2

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

$(n + 5) (5 m + 3 n^{2})$