Answer
$(2x^2-3)(x^2+1)$.
Work Step by Step
The given expression is
$=2x^4-x^2-3$.
We can write
$=2(x^2)^2-x^2-3$
Substitute $x^2=u$.
$=2(u)^2-u-3$
Simplify.
$=2u^2-u-3$
Rewrite $-u$ as $-3u+2u$.
$=2u^2-3u+2u-3$
Factor.
$=u(2u-3)+1(2u-3)$
$=(2u-3)(u+1)$.
Substitute back $u=x^2$.
$=(2x^2-3)(x^2+1)$.