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stiks02 [169]
3 years ago
6

Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n. thanks.

Mathematics
1 answer:
azamat3 years ago
6 0

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We know that in a lottery game, a player picks six numbers from 1 to 27.

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3 years ago
One pipe fills a barrel in 1 hour while another pipe can fill the same barrel in 2 hours. How many minutes will it take to fill
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Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

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