Answer
$-(3x-1)(3x+1)(x^{2}+1)$
Work Step by Step
We factor:
$1-8x^{2}-9x^{4}$
First we rearrange the terms:
$-9x^{4}-8x^{2}+1$
Next we factor out -1:
$-(9x^{4}+8x^{2}-1)$
Next we factor in two parts:
$-(9x^{2}-1)(x^{2}+1)$
Next we use the fact that $(a-b)(a+b)=a^2-b^2$
$-(3x-1)(3x+1)(x^{2}+1)$
