Answer
$x^3+6x^2+13x+8$.
Work Step by Step
The given expression is
$=(x+1)(x^2+5x+8)$
Distribute $(x^2+5x+8)$ to each term of $(x+1)$.
$=x(x^2+5x+8)+1(x^2+5x+8)$
Use distributive property.
$=x(x^2)+x(5x)+x(8)+1(x^2)+1(5x)+1(8)$
Multiply.
$=x^3+5x^2+8x+x^2+5x+8$
Combine like terms.
$=x^3+6x^2+13x+8$
Hence, the product is $x^3+6x^2+13x+8$.
