alisayl1909 alisayl1909
  • 09-07-2020
  • Mathematics
contestada

prove that the difference between squares of consecutive even numbers is always a multiple of 4

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  • 09-07-2020

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

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