the difference between the squares of two consecutive odd integers is | Examsbook

1144

Q: The difference between the squares of two consecutive odd integers is always divisible by ?

1
8
2
2
3
6
4
4

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चर्चा

Answer : 1. "8"
Explanation :
Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

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