Algebra-1

To factor the polynomial 4x³ - 5x²y + 20xy² - 25y³, we can use various factoring methods to simplify the expression. In this case, we'll use the grouping method:

Step 1: Group the terms: (4x³ - 5x²y) + (20xy² - 25y³)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out x²: x²(4x - 5y).
In the second group, we can factor out 5y²: 5y²(4x - 5y).

Now, we have: x²(4x - 5y) +5y²(4x ...