Final answer:
To simplify the given expression, we first calculate inside the parentheses, address exponents, and then perform multiplication before combining the terms, resulting in the simplified expression 57 + 36x².
Step-by-step explanation:
To simplify the expression 8² + 9(12/3x²)-7, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Here is a step-by-step breakdown:
- First, handle the parentheses and any operations within them. In this case, we have 12/3 inside the parentheses, which simplifies to 4.
- Next, we deal with any exponents. The term 8² equals 64.
- Now, we look at the multiplication. The expression 9(4x²) simplifies to 36x².
- Finally, we combine all the terms. Add 64 to 36x² and subtract 7.
- The simplified expression is 64 + 36x² - 7, which we can further simplify to 57 + 36x².