Is x negative?
1) x^3(1-x^2) < 0
x^3 < 0 & (1-x^2) > 0 OR x^3 > 0 & (1-x^2) < 0
x < 0 & x^2 < 1 OR x > 0 & x^2 < 1
2) x^2 - 1 < 0
x^2 < 1
1+2
x^2 < 1
==> x < 0
1) x^3(1-x^2) < 0
x^3 < 0 & (1-x^2) > 0 OR x^3 > 0 & (1-x^2) < 0
x < 0 & x^2 < 1 OR x > 0 & x^2 < 1
2) x^2 - 1 < 0
x^2 < 1
1+2
x^2 < 1
==> x < 0