Answer
$2x^4+3x^3-2x^2+x+6$
Work Step by Step
Using the Distributive Property, the given expression simplifies to
\begin{align*}
&
(2x+3)(x^3-x+2)
\\&=
[2x(x^3)+2x(-x)+2x(2)]+[3(x^3)+3(-x)+3(2)]
\\&=
[2x^4-2x^2+4x]+[3x^3-3x+6]
\\&=
2x^4+3x^3-2x^2+(4x-3x)+6
\\&=
2x^4+3x^3-2x^2+x+6
.\end{align*}
