To factor the polynomial 3x³ + 2x²y - 9xy² - 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: (
3x³ + 2x²y) - (9xy² + 6y³)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out x²: x²(3x + 2y).
In the second group, we can factor out 3y²: 3y²(3x + 2y).
Now, we have:
x²(3x + 2y) -
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