Algebra-1

To factor the polynomial 2ax³ - 3ax²y + 4bx²y - 6bxy², we can use various factoring methods to simplify the expression. In this case, we'll use the grouping method:

Step 1: Group the terms: (2ax³ - 3ax²y) + (4bx²y - 6bxy²)

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

Now, we have: ax²(2x - 3y) + 2bxy(2x - 3y)

Step 3: Notice that (2x - 3y) is a common factor in both terms.
Factor out (2x - 3y) from both terms: (