Find the value of `968 xx 73 + 968 xx 27`.

Options

A. `9680`
B. `96800`
C. `968`
D. `78650`

Answer

To solve the expression \( 968 \times 73 + 968 \times 27 \), we can use the Distributive Law of Multiplication. Here’s how to do it step by step:

### Step 1: Identify the common factor
In the expression \( 968 \times 73 + 968 \times 27 \), we can see that \( 968 \) is a common factor in both terms.

### Step 2: Factor out the common factor
Using the Distributive Law, we can factor out \( 968 \):
\[ 968 \times 73 + 968 \times 27 = 968 \times (73 + 27) \]

### Step 3: Simplify the expression inside the parentheses
Now, we need to calculate \( 73 + 27 \):
\[ 73 + 27 = 100 \]

### Step 4: Substitute back into the expression
Now we substitute back into our factored expression:
\[ 968 \times (73 + 27) = 968 \times 100 \]

### Step 5: Calculate the final multiplication
Now we calculate \( 968 \times 100 \):
\[ 968 \times 100 = 96800 \]

### Final Answer
Thus, the value of \( 968 \times 73 + 968 \times 27 \) is \( 96800 \).

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