Final answer:
The expression (-3² + 6²) - (4² + 2) can be evaluated by performing the operations in the correct order, resulting in a value of 9.
Step-by-step explanation:
To evaluate the expression (-3² + 6²) - (4² + 2), we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right.
Step 1: Evaluate the exponents in the parentheses:
(-3² + 6²) - (4² + 2) = (-9 + 36) - (16 + 2)
Step 2: Perform the addition and subtraction in each set of parentheses:
(-9 + 36) - (16 + 2) = 27 - 18
Step 3: Perform the final subtraction:
27 - 18 = 9
Therefore, the value of the expression is 9.