n^2-n = even | MathCelebrity Forum

n^2-n = even

math_celebrity

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n^2-n = even

Factor n^2-n:
n(n - 1)

We have one of two scenarios:
  1. If n is odd, then n - 1 is even. The product of an odd and even number is an even number
  2. If n is even, then n - 1 is odd. The product of an even and odd number is an even number
 
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