Answer
$x^4-25$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the product of the given expression, $
(x^2+5)(x^2-5)
,$ is
\begin{array}{l}\require{cancel}
(x^2)^2-(5)^2
\\\\=
x^4-25
.\end{array}