SOLUTION: What is the counter example of "The product of a number (n-1) and number (n+1) is always equal to n^2-1?"

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Question 207728: What is the counter example of "The product of a number (n-1) and number (n+1) is always equal to n^2-1?"
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you FOIL out %28n-1%29%28n%2B1%29, you will get: %28n-1%29%28n%2B1%29=n%2An%2Bn%2A1-1%2An-1%2A1=n%5E2%2Bn-n-1=n%5E2-1


So %28n-1%29%28n%2B1%29=n%5E2-1 is true for ALL values of 'n'


This means that "The product of a number (n-1) and number (n+1) is always equal to n^2-1" is ALWAYS true. So once again, we cannot find any counter examples because there are none in this case.