Algebra-1

To factor the polynomial 3ax³ - 2ax²y + 12bx²y - 8bxy², we can use various factoring methods to simplify the expression. In this case, we'll use the grouping method:

Step 1: Group the terms: (3ax³ - 2ax²y) + (12bx²y - 8bxy²)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out ax²: ax²(3x - 2y).
In the second group, we can factor out 4bxy: 4bxy(3x - 2y).

Now, we have: ax²(3x - 2y) +