Factor by Grouping 6m^3+5mn+6m^2+5n

$6 m^{3} + 5 m n + 6 m^{2} + 5 n$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 m^{3} + 5 m n) + 6 m^{2} + 5 n$

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

$m (6 m^{2} + 5 n) + 1 (6 m^{2} + 5 n)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $6 m^{2} + 5 n$ .

$(6 m^{2} + 5 n) (m + 1)$