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enot [183]
4 years ago
8

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

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
7 0

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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shepuryov [24]
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