`(-37) xx (-7) +(-37) xx (-3) =?`

Options

A. `370`
B. `-370`
C. `148`
D. `-148`

Answer

To solve the expression \((-37) \times (-7) + (-37) \times (-3)\), we can follow these steps:

### Step 1: Identify the multiplication of negative integers
We start with the expression:
\[ (-37) \times (-7) + (-37) \times (-3) \]
When we multiply two negative numbers, the result is positive. Therefore:
\[ (-37) \times (-7) = 37 \times 7 \]
and
\[ (-37) \times (-3) = 37 \times 3 \]

### Step 2: Rewrite the expression with positive integers
Now we can rewrite the expression as:
\[ 37 \times 7 + 37 \times 3 \]

### Step 3: Factor out the common term
Both terms have a common factor of \(37\). We can factor \(37\) out:
\[ 37 \times (7 + 3) \]

### Step 4: Simplify the expression inside the parentheses
Now we simplify the expression inside the parentheses:
\[ 7 + 3 = 10 \]
So we have:
\[ 37 \times 10 \]

### Step 5: Calculate the final result
Now we multiply:
\[ 37 \times 10 = 370 \]

Thus, the final answer is:
\[ \boxed{370} \]