11. Simplify. $$ 6-(3+2 \cdot 5)+(-3)^{2} $$ $$ \begin{array}{ll} ext { A. }-15 & ext { B. } 2 \ ext { C. } 28 & ext { D. } 34\end{array} $$

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11. Simplify. $$ 6-(3+2 \cdot 5)+(-3)^{2} $$ $$ \begin{array}{ll}	ext { A. }-15 & 	ext { B. } 2 \ 	ext { C. } 28 & 	ext { D. } 34\end{array} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ 6 - (3 + 2 \cdot 5) + (-3)^{2} $$, follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses/Brackets**:
   $$
   3 + 2 \cdot 5
   $$
   - First, perform the multiplication:
     $$
     2 \cdot 5 = 10
     $$
   - Then, add:
     $$
     3 + 10 = 13
     $$
   
2. **Substitute back into the expression**:
   $$
   6 - 13 + (-3)^{2}
   $$

3. **Exponents**:
   $$
   (-3)^{2} = (-3) \times (-3) = 9
   $$
   
4. **Perform the remaining operations**:
   $$
   6 - 13 + 9
   $$
   - Subtract:
     $$
     6 - 13 = -7
     $$
   - Add:
     $$
     -7 + 9 = 2
     $$

So, the simplified value of the expression is **2**.

**Answer:** B. 2
The simplified value of the expression is 2.

11. Simplify. \( 6-(3+2 \cdot 5)+(-3)^{2} \) \( \begin{array}{ll}\text { A. }-15 & \text { B. } 2 \\ \text { C. } 28 & \text { D. } 34\end{array} \)

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