The value of `(89xx76+89xx24)` is

Options

A. 890
B. 8900
C. 89000
D. 10420

Answer

To solve the problem `(89xx76 + 89xx24)`, we can use the distributive property of multiplication. Here’s a step-by-step solution:

### Step 1: Identify the common factor
In the expression `89xx76 + 89xx24`, we can see that `89` is a common factor in both terms.

### Step 2: Apply the distributive property
Using the distributive property, we can factor out `89`:
\[ 89 \times 76 + 89 \times 24 = 89 \times (76 + 24) \]

### Step 3: Calculate the sum inside the parentheses
Now, we need to calculate the sum of `76` and `24`:
\[ 76 + 24 = 100 \]

### Step 4: Multiply the common factor by the sum
Now, we substitute back into the expression:
\[ 89 \times (76 + 24) = 89 \times 100 \]

### Step 5: Perform the multiplication
Finally, we calculate:
\[ 89 \times 100 = 8900 \]

### Final Answer:
The value of `(89xx76 + 89xx24)` is **8900**.

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