We are given the function $f(x) = x^2(-3x^2 - 2)$ and need to simplify it by expanding the expression.

1. Problem Description

We are given the function $f(x) = x^2(-3x^2 - 2)$ and need to simplify it by expanding the expression.

2. Solution Steps

We need to distribute the $x^2$ term to both terms inside the parentheses.

$f(x) = x^2(-3x^2 - 2)$

$f(x) = x^2(-3x^2) + x^2(-2)$

Using the property $x^a * x^b = x^{a+b}$, we have:

$f(x) = -3x^{2+2} - 2x^2$

$f(x) = -3x^4 - 2x^2$

3. Final Answer

$f(x) = -3x^4 - 2x^2$