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The difference between the squares of any two consecutive integers is equal to :
Answer & Solution
Correct Answer:
Option
C
Let the two consecutive integers be a and (a + 1).
Then,
(a + 1)2 - a2
= a2 + 1 + 2a - a2
= (2a + 1)
= (a + a + 1) = sum of given integers
Then,
(a + 1)2 - a2
= a2 + 1 + 2a - a2
= (2a + 1)
= (a + a + 1) = sum of given integers
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