Answer:

3y(x-4y)(2x-1)

Step-by-step explanation:

6x^2y-3xy-24xy^2+12y^2 = 3y(2x^2-x-8xy+4y)

Now factor by grouping2x^2-x-8xy+4y = x(2x-1) - 4y(2x-1) = (x-4y)(2x-1)