Answer:
[tex]2 {x}^{4} (3 {x}^{2} + 4x + 1) \\=6{x}^{(4+2)}+8{x}^{(4+1)}+2{x}^{(4+0)}\\ = \boxed{6 {x}^{6} + 8 {x}^{5} + 2 {x}^{4} }[/tex]
