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Answer :
Final answer:
To factor the expression (5x³ - 25x²) (3x - 15) by grouping, first factor out common elements from each part, resulting in the simplified form of 15x²(x - 5)².
Explanation:
The question asks to factor the expression (5x³ - 25x²) (3x - 15) by grouping.
To approach this, we first look for common factors in each part of the expression.
- Within (5x³ - 25x²), we can factor out 5x², leaving us with 5x²(x - 5).
- In the expression (3x - 15), we can factor out 3, getting 3(x - 5).
- Thus, our original expression becomes 5x²(x - 5) × 3(x - 5).
- This can be further simplified to 15x²(x - 5)² since we are multiplying both expressions by each other, both of which include a factor of (x - 5).
Therefore, the factored form of the expression is 15x²(x - 5)².
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