Question

Evaluate the expression −3 ²−5 ² −(15−33)

A) 96
B) -96
C) -60
D) 60

Answer 1

After following the order of operations, the correct evaluation of the expression −3 ²−5 ² −(15−33) is 2, which is not listed as one of the provided options. There may be an error in the question or options given.

Step-by-step explanation:

To evaluate the expression −3 ²−5 ² −(15−33), we must follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

• First, we evaluate the expression inside the parentheses: (15−33) which equals −18.
• Next, we evaluate the exponents: −3 ² equals 9 (note that the negative sign is not squared) and −5 ² equals 25.
• Now, we combine these results: 9 − 25 − (−18).
  
• Then, we change the subtraction of the negative number to addition: 9 − 25 + 18.
• Finally, we combine these terms: 9 − 25 equals −16 and −16 + 18 equals 2.

Therefore, the correct answer is 2, which isn't one of the options provided (A) 96, B) -96, C) -60, D) 60). There might be a mistake in the problem statement or in the options listed.