Answer
$2(1+2x)(1-2x)$
Work Step by Step
Factor out $2$.
$\begin{align*}
2-8x^2&=2(1-4x^2)\\
&=2[1-(2x)^2]
\end{align*}$
Use special formula $a^2-b^2=(a+b)(a-b)$ with $a=1$ and $b=2x$ to obtain:
$2-8x^2=2(1+2x)(1-2x)$
Hence, the completely factored form of the given expressions is $2(1+2x)(1-2x)$.
