Answer
$(-\infty,-1)U(1,\infty)$
Work Step by Step
Step 1.Factor and identify boundary points (zeros) $x^2(x+1)(x-1)\gt0$ as $x=-1,0,1$ which divide the x-axis into four intervals $(-\infty,-1),(-1,0),(0,1),(1,\infty)$
Step 2. Choose test values in each interval $x=-2,-0.5,0.5,2$ and test the inequality to get $True, \ False,\ False, \ True$
Step 3. Thus the solution intervals are $(-\infty,-1)U(1,\infty)$
