The difference of the squares of two consecutive odd integers is divisible by which of the following integer?8673
Question
Solution 1
Let's denote the two consecutive odd integers as n and n+2 (since odd numbers are 2 units apart).
The difference of their squares is:
(n+2)^2 - n^2
This simplifies to:
n^2 + 4n + 4 - n^2
The n^2 terms cancel out, leaving:
4n + 4
This can be factored to:
4(n + 1)
So, the difference of the Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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