`30 xx (-23)+ 30xx14 = ?`

Options

A. `-270`
B. `270`
C. `1110`
D. `-1110`

Answer

To solve the expression \(30 \times (-23) + 30 \times 14\), we will follow the order of operations, often referred to as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the terms to multiply**:
We have two multiplication operations: \(30 \times (-23)\) and \(30 \times 14\).

2. **Perform the first multiplication**:
\[ 30 \times (-23) = -690 \]

3. **Perform the second multiplication**:
\[ 30 \times 14 = 420 \]

4. **Combine the results of the multiplications**:
Now we add the results from the two multiplications:
\[ -690 + 420 \]

5. **Perform the addition**:
When adding a negative number and a positive number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value:
\[ -690 + 420 = -270 \]

### Final Answer:
The final result of the expression \(30 \times (-23) + 30 \times 14\) is \(-270\).

---