What is the result of the expression: (-3)² - [54/18(-5 + 3)] + [11 - (-2)²]?

What is the result of the expression: (-3)² - [54/18(-5 + 3)] + [11 - (-2)²]?

• A. 15
• B. 22
• C. 25
• D. 17

Answer: (B)

To solve the expression \((-3)² - [54/18(-5 + 3)] + [11 - (-2)²]\), it is essential to evaluate each component step-by-step. 1. Start with \((-3)²\). The square of \(-3\) is \(9\). 2. Next, evaluate the term \(-5 + 3\). This simplifies to \(-2\). 3. Now, substitute \(-2\) back into the expression \(\frac{54}{18(-2)}\). First, calculate \(54/18\), which is \(3\). Now, substituting gives \(3 \times (-2)\), which results in \(-6\). 4. The combined expression now looks like this: \(9 - (-6) + [11 - (-2)²]\). 5. Next, calculate \((-2)²\). This equals \(4\). Hence, the term \(11 - 4\) simplifies to \(7\). 6. Now we can put all components together: \(9 - (-6) + 7\). The subtraction of a negative becomes addition: \(9 + 6 + 7\

To solve the expression ((-3)² - [54/18(-5 + 3)] + [11 - (-2)²]), it is essential to evaluate each component step-by-step.

1. Start with ((-3)²). The square of (-3) is (9).

2. Next, evaluate the term (-5 + 3). This simplifies to (-2).

3. Now, substitute (-2) back into the expression (\frac{54}{18(-2)}). First, calculate (54/18), which is (3). Now, substituting gives (3 \times (-2)), which results in (-6).

4. The combined expression now looks like this: (9 - (-6) + [11 - (-2)²]).

5. Next, calculate ((-2)²). This equals (4). Hence, the term (11 - 4) simplifies to (7).

6. Now we can put all components together: (9 - (-6) + 7). The subtraction of a negative becomes addition: (9 + 6 + 7\