Final answer:
To solve the expression, we apply the order of operations by first dealing with the parentheses, then the exponents, and finally the addition and subtraction, resulting in the answer -52.
Step-by-step explanation:
To solve the expression 4² - 35 + (3² - 18 + 4(-6)), we should follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition, and Subtraction (PEMDAS).
First, we solve the operations inside the parentheses:
- 3² is 9.
- 9 - 18 equals -9.
- 4(-6) is -24 (when two numbers multiply with opposite signs, the result has a negative sign).
- -9 + (-24) is -33.
Now, we take this result and solve the rest of the expression:
- 4² is 16.
- 16 - 35 equals -19.
- -19 + (-33) (adding two negative numbers) is -52.
There's the answer: -52.