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9856 xx 156 + 9856 xx 844 =...

`9856 xx 156 + 9856 xx 844 =`

A

9856000

B

9836500

C

9794560

D

9698350

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 9856 \times 156 + 9856 \times 844 \), we can use the distributive property of multiplication. This property states that \( a \times b + a \times c = a \times (b + c) \). ### Step-by-Step Solution: 1. **Identify the common factor**: In the expression \( 9856 \times 156 + 9856 \times 844 \), the common factor is \( 9856 \). 2. **Factor out the common term**: We can rewrite the expression as: \[ 9856 \times (156 + 844) \] 3. **Calculate the sum inside the parentheses**: Now, we need to add \( 156 \) and \( 844 \): \[ 156 + 844 = 1000 \] 4. **Multiply by the common factor**: Now substitute back into the expression: \[ 9856 \times 1000 \] 5. **Perform the multiplication**: To multiply \( 9856 \) by \( 1000 \), we can simply append three zeros to \( 9856 \): \[ 9856 \times 1000 = 9856000 \] ### Final Answer: Thus, the result of \( 9856 \times 156 + 9856 \times 844 \) is: \[ \boxed{9856000} \]
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