Answer
$x^7+x^5-3x^4+3x^3-2x^2+5x-3$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(x^4-2x+3)(x^3+x-1)
,$ is
\begin{array}{l}\require{cancel}
x^4(x^3)+x^4(x)+x^4(-1)-2x(x^3)-2x(x)-2x(-1)+3(x^3)+3(x)+3(-1)
\\\\=
x^7+x^5-x^4-2x^4-2x^2+2x+3x^3+3x-3
\\\\=
x^7+x^5+(-x^4-2x^4)+3x^3-2x^2+(2x+3x)-3
\\\\=
x^7+x^5-3x^4+3x^3-2x^2+5x-3
.\end{array}
