SOLUTION: Difference between the squares of two consecutive odd integers is always divisible by:- (1) 3 (2) 6 (3) 7 (4) 8

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Question 293393: Difference between the squares of two consecutive odd integers is always divisible by:-
(1) 3 (2) 6 (3) 7 (4) 8

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Difference between the squares of two consecutive odd integers is always divisible by:-
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1st: 2x-1
2nd: 2x+1
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Difference: (2x-1)^2 - (2x+1)^2
= (4x^2-4x+1)-(4x^2+4x+1)
= -8x
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Ans: 8
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Cheers,
Stan H.
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(1) 3 (2) 6 (3) 7 (4) 8