To simplify the expression \((-2ax^2 + 3ax - a^2)(-a^2x^2)\), we'll distribute \(-a^2x^2\) across each term in the polynomial.
Distribute \(-a^2x^2\) to \(-2ax^2\): \[ -a^2x^2 \cdot (-2ax^2) = 2a^3x^4 \]
Distribute \(-a^2x^2\) to \(3ax\): \[ -a^2x^2 \cdot (3ax) = -3a^3x^3 \]
Distribute \(-a^2x^2\) to \(-a^2\): \[ -a^2x^2 \cdot (-a^2) = a^4x^2 \]
Now, combine all the results together: \[ 2a^3x^4 - 3a^3x^3 + a^4x^2 \]
Therefore, the simplified expression is: \[ \boxed{2a^3x^4 - 3a^3x^3 + a^4x^2} \]