Answer
$(4+x^2)(2+x)(2-x)$
Work Step by Step
Using $a^2-b^2=(a+b)(a-b)$, the factored form of the given expression, $
16-x^4
,$ is
\begin{array}{l}\require{cancel}
(4+x^2)(4-x^2)
.\end{array}
Since the second factor is still a difference of $2$ squares, using the same factoring technique, the completely factored form of the expression above is
\begin{array}{l}\require{cancel}
(4+x^2)(2+x)(2-x)
.\end{array}