Algebra-1

To factor the polynomial 2x³ - 3x²y + 4xy² - 6y³, we can use various factoring methods to simplify the expression. In this case, we'll use the grouping method:

Step 1: Group the terms: (2x³ - 3x²y) + (4xy² - 6y³)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out x²: x²(2x - 3y).
In the second group, we can factor out 2y²: 2y²(2x - 3y).

Now, we have: x²(2x - 3y) +2y²(