Factor m^5+6a^3m^3-4am^2-24a^4

$m^{5} + 6 a^{3} m^{3} - 4 a m^{2} - 24 a^{4}$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(m^{5} + 6 a^{3} m^{3}) - 4 a m^{2} - 24 a^{4}$

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

$m^{3} (m^{2} + 6 a^{3}) - 4 a (m^{2} + 6 a^{3})$

Factor the polynomial by factoring out the greatest common factor, $m^{2} + 6 a^{3}$ .

$(m^{2} + 6 a^{3}) (m^{3} - 4 a)$