Find the value of the following:
`297xx17+297xx3`

Answer

To find the value of \( 297 \times 17 + 297 \times 3 \), we can use the distributive property of multiplication over addition. Here are the steps to solve the problem:

### Step 1: Identify the common factor
We notice that both terms in the expression share a common factor, which is \( 297 \).

### Step 2: Factor out the common term
We can factor out \( 297 \) from both terms:
\[ 297 \times 17 + 297 \times 3 = 297 \times (17 + 3) \]

### Step 3: Simplify the expression inside the parentheses
Now, we simplify the expression inside the parentheses:
\[ 17 + 3 = 20 \]

### Step 4: Rewrite the expression
Now we can rewrite our expression:
\[ 297 \times (17 + 3) = 297 \times 20 \]

### Step 5: Perform the multiplication
Next, we multiply \( 297 \) by \( 20 \):
\[ 297 \times 20 \]

To do this, we can break it down:
\[ 297 \times 20 = 297 \times (2 \times 10) = (297 \times 2) \times 10 \]

Calculating \( 297 \times 2 \):
\[ 297 \times 2 = 594 \]

Now, multiply \( 594 \) by \( 10 \):
\[ 594 \times 10 = 5940 \]

### Final Answer
Thus, the value of \( 297 \times 17 + 297 \times 3 \) is \( 5940 \).

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