Simplify `117 + 9 xx 5 - 3 xx 8 + 55 xx 55 + 8 xx 7 + 6`

Options

A. 2825
B. 2532
C. 2528
D. 3225

Answer

To simplify the expression `117 + 9 × 5 - 3 × 8 + 55 × 55 + 8 × 7 + 6`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 117 + 9 \times 5 - 3 \times 8 + 55 \times 55 + 8 \times 7 + 6 \]

2. **Perform all multiplications first**:
- Calculate \(9 \times 5\):
\[ 9 \times 5 = 45 \]
- Calculate \(3 \times 8\):
\[ 3 \times 8 = 24 \]
- Calculate \(55 \times 55\):
\[ 55 \times 55 = 3025 \]
- Calculate \(8 \times 7\):
\[ 8 \times 7 = 56 \]

Now, substitute these values back into the expression:
\[ 117 + 45 - 24 + 3025 + 56 + 6 \]

3. **Combine the values**:
- Start with the addition and subtraction from left to right:
- First, add \(117 + 45\):
\[ 117 + 45 = 162 \]
- Next, subtract \(24\):
\[ 162 - 24 = 138 \]
- Now, add \(3025\):
\[ 138 + 3025 = 3163 \]
- Then, add \(56\):
\[ 3163 + 56 = 3219 \]
- Finally, add \(6\):
\[ 3219 + 6 = 3225 \]

4. **Final result**:
\[ 3225 \]

### Conclusion:
The simplified result of the expression \(117 + 9 \times 5 - 3 \times 8 + 55 \times 55 + 8 \times 7 + 6\) is \(3225\).

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