The hcf or gcd of $ a$ and $b$ is $1$ . What is the hcf of the following term? (a^p and b^p)/(a-b) and (a-b)...

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The hcf or gcd of $a$ and $ b$ is $1$.



What is the hcf of the following term?



$dfrac{a^p - b^p}{a-b} $ and $a-b$, where $p $ is a prime number.



I study in grade 9. I can't solve this problem. Can anyone please help me?










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Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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put on hold as off-topic by Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy Dec 26 at 19:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 3




    What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
    – lulu
    Dec 26 at 12:39










  • @lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
    – Don Thousand
    Dec 26 at 12:50










  • You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
    – KCd
    Dec 26 at 14:04










  • @DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
    – lulu
    Dec 26 at 14:28
















0














The hcf or gcd of $a$ and $ b$ is $1$.



What is the hcf of the following term?



$dfrac{a^p - b^p}{a-b} $ and $a-b$, where $p $ is a prime number.



I study in grade 9. I can't solve this problem. Can anyone please help me?










share|cite|improve this question









New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy Dec 26 at 19:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 3




    What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
    – lulu
    Dec 26 at 12:39










  • @lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
    – Don Thousand
    Dec 26 at 12:50










  • You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
    – KCd
    Dec 26 at 14:04










  • @DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
    – lulu
    Dec 26 at 14:28














0












0








0


1





The hcf or gcd of $a$ and $ b$ is $1$.



What is the hcf of the following term?



$dfrac{a^p - b^p}{a-b} $ and $a-b$, where $p $ is a prime number.



I study in grade 9. I can't solve this problem. Can anyone please help me?










share|cite|improve this question









New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











The hcf or gcd of $a$ and $ b$ is $1$.



What is the hcf of the following term?



$dfrac{a^p - b^p}{a-b} $ and $a-b$, where $p $ is a prime number.



I study in grade 9. I can't solve this problem. Can anyone please help me?







number-theory






share|cite|improve this question









New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited Dec 27 at 16:38





















New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked Dec 26 at 12:38









Shrestha Mukherjee

42




42




New contributor




Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Shrestha Mukherjee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy Dec 26 at 19:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy Dec 26 at 19:38


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Shailesh, Pierre-Guy Plamondon, metamorphy

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 3




    What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
    – lulu
    Dec 26 at 12:39










  • @lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
    – Don Thousand
    Dec 26 at 12:50










  • You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
    – KCd
    Dec 26 at 14:04










  • @DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
    – lulu
    Dec 26 at 14:28














  • 3




    What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
    – lulu
    Dec 26 at 12:39










  • @lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
    – Don Thousand
    Dec 26 at 12:50










  • You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
    – KCd
    Dec 26 at 14:04










  • @DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
    – lulu
    Dec 26 at 14:28








3




3




What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
– lulu
Dec 26 at 12:39




What have you tried? As a good starting point, work some examples..try to get a sense of the answer that way and then try to prove your conjecture.
– lulu
Dec 26 at 12:39












@lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
– Don Thousand
Dec 26 at 12:50




@lulu moreover, the expression that OP has provided to find the gcd of is somewhat nonsensical
– Don Thousand
Dec 26 at 12:50












You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
– KCd
Dec 26 at 14:04




You want $p$ to be an odd prime: the ratio $(a^2 + b^2)(a-b)$ is usually not an integer.
– KCd
Dec 26 at 14:04












@DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
– lulu
Dec 26 at 14:28




@DonThousand True. I assumed the OP meant $frac {a^p-b^p}{a-b}$ but of course, that isn't what appears.
– lulu
Dec 26 at 14:28















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