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Olenka [21]
3 years ago
14

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

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

Answer: Proved: the difference between squares of consecutive even numbers is always a multiple of 4. ... From the results above, we can see that 12, 20, and 28 are multiples of 4. Therefore, the difference between squares of consecutive even numbers is always a multiple of 4.

Step-by-step explanation:

svp [43]3 years ago
4 0

Answer:

Step-by-step explanation:

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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