Which of the following is the output of 869 x 738 + 869 x 262 ?

To solve this efficiently, we use the distributive property of multiplication, which states that for any numbers a, b, and c: a * b + a * c = a * (b + c).

Step-by-Step Solution

1. Identify the common term: In the expression 869 * 738 + 869 * 262, the common term is 869.

2. Apply the distributive property: 869 * (738 + 262)

3. Perform the addition inside the parentheses: 738 + 262 = 1000

4. Complete the multiplication: 869 * 1000 = 869000