Answer
$x^4-x^3+2x^2+x+3$.
Work Step by Step
The given expression is
$=(x^2-2x+3)(x^2+x+1)$
Multiply the right side trinomial by each term of the left side trinomial.
$=x^2(x^2+x+1)-2x(x^2+x+1)+3(x^2+x+1)$
Clear the parentheses.
$=x^4+x^3+x^2-2x^3-2x^2-2x+3x^2+3x+3$
Add like terms.
$=x^4-x^3+2x^2+x+3$.
