Factor the GCF:

-12x4y - 9x3y2 + 3x2y3 A. - 3x2y (4x2 + 3xy - y2)

B. 3x2y (-4x2 + 3xy - y2)

C. - 3 (4x2y + 3x3y2 - x2y3)

D. - 3x2y (-4x2 - 3xy + y2)

The greatest common factor (GCF) is the product of the greatest common factors of the numerical coefficients and the variables involving x and y.

-12 (x^4) y - 9x³y² + 3x²y³

-3x²y (4x² + 3xy - y²)

Thus, the answer is letter A.