Answer
$x^3+3x^2-5x-14$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(x^2+x-7)(x+2)
,$ is
\begin{array}{l}\require{cancel}
x^2(x)+x^2(2)+x(x)+x(2)-7(x)-7(2)
\\\\=
x^3+2x^2+x^2+2x-7x-14
\\\\=
x^3+(2x^2+x^2)+(2x-7x)-14
\\\\=
x^3+3x^2-5x-14
.\end{array}