Final answer:
To find the value of 5-1(4n² + 4), we need to simplify the expression using the order of operations. The simplified expression is 4n² + 9.
Step-by-step explanation:
To find the value of 5-1(4n² + 4), we need to follow the order of operations, which is commonly remembered as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's simplify the expression step by step:
- Start by applying the distributive property to the expression inside the parentheses: -1 * 4n² + (-1) * 4.
- Simplify the exponents: -4n² - 4.
- Multiply -1 by each term inside the parentheses: -4n² - 4.
- Combine like terms: -4n² - 4.
- Finally, subtract the result from 5: 5 - (-4n² - 4).
Now, we have simplified the expression. It is 5 + 4n² + 4, or simply 4n² + 9.
Learn more about Order of operations in mathematics