(-2ax²+3ax-a²)(-a²x²)

To simplify the expression \((-2ax^2 + 3ax - a^2)(-a^2x^2)\), we'll distribute \(-a^2x^2\) across each term in the polynomial. 1. Distribute \(-a^2x^2\) to \(-2ax^2\): \[ -a^2x^2 \cdot (-2ax^2) = 2a^3x^4 \] 2. Distribute \(-a^2x^2\) to \(3ax\): \[ -a^2x^2 \cdot (3ax) = -3a^3x^3 \] 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: \[ \boxed{2a^3x^4 - 3a^3x^3 + a^4x^2} \]