Algebra-1

To factor the polynomial 5x³ - 7x²y + 25xy² - 35y³, we can use various factoring methods to simplify the expression. In this case, we'll use the grouping method:

Step 1: Group the terms: (5x³ - 7x²y) + (25xy² - 35y³)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out x²: x²(5x - 7y).
In the second group, we can factor out 5y²: 5y²(5x - 7y).

Now, we have: x²(5x - 7y) +5y