Answer
Split the expression into two trinomials, find the GCF for both, and then factor.
Work Step by Step
Split the expression into two trinomials, find the GCF for both, and then factor.
$...=(6x^{5}+12x^{3}+9x)+(4x^{4}+8x^{2}+6)$
$=3x(2x^{4}+6x^{2}+3)+2(2x^{4}+6x^{2}+3)$
.... and factor out the common trinomial
$=(2x^{4}+6x^{2}+3)(3x+2)$