Find the product. Simplify your answer: -9(-4y² - 4y + 4)
Understand the Problem
The question is asking to find the product of the expression -9 multiplied by the polynomial (-4y² - 4y + 4) and to simplify the result.
Answer
The product is \(36y^2 + 36y - 36\).
Answer for screen readers
The final answer is (36y^2 + 36y - 36).
Steps to Solve
- Distribute the -9 Start by distributing the -9 to each term inside the polynomial.
[ -9 \times (-4y^2) = 36y^2 ] [ -9 \times (-4y) = 36y ] [ -9 \times 4 = -36 ]
- Combine the results Now, combine the results from the distribution:
[ 36y^2 + 36y - 36 ]
- Final expression The fully simplified expression is
[ 36y^2 + 36y - 36 ]
The final answer is (36y^2 + 36y - 36).
More Information
When distributing a negative number to a polynomial, remember that it changes the signs of the terms. This is essential to reach the correct result.
Tips
- Forgetting to apply the negative sign correctly to each term.
- Not simplifying the terms after distribution.
AI-generated content may contain errors. Please verify critical information
Thank you for voting!
