Use distributive property of multiplication over addition and evaluate:
`49xx68+32xx49`

Options

A. `4800`
B. `4900`
C. `4700`
D. `3900`

Answer

To solve the expression \(49 \times 68 + 32 \times 49\) using the distributive property of multiplication over addition, we can follow these steps:

### Step 1: Identify the common factor
Notice that both terms in the expression have a common factor of \(49\). We can factor \(49\) out of the expression:
\[ 49 \times 68 + 32 \times 49 = 49 \times (68 + 32) \]

### Step 2: Simplify the expression inside the parentheses
Now, we need to add the numbers inside the parentheses:
\[ 68 + 32 = 100 \]

### Step 3: Multiply the common factor by the simplified sum
Now we can substitute back into the expression:
\[ 49 \times (68 + 32) = 49 \times 100 \]

### Step 4: Calculate the final multiplication
Now, we can perform the multiplication:
\[ 49 \times 100 = 4900 \]

Thus, the final answer is:
\[ \boxed{4900} \]