Factoring and finding out the summation of two co-prime numbers

[AhnafSamin]

a,b are coprime and a = 259,now how to find the GCD of a2 – ab – b2 and a + b?

 

[Deleted member 4993]

][/FONT]a,b are coprime and a = 259,now how to find the GCD of a² – ab – b² and a + b?

Did you try polynomial division?

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[stapel]

Assume that a and b are coprime, and a = 259. Find the GCD of a² – ab – b² and a + b.

What is the definition of "coprime"? (here) What type of numbers must "a" and "b" then be? What is the prime factorization of 259? What does this tell you about "b"?

From beginning algebra, what do you know about the product of the two given algebraic factors? (here) How have you tried relating this to "a" and "b"?

Please be complete. Thank you!