SOLUTION: A^x + B^y = C^z, prove that when A, B and C are positive integers, and x, y and z are positive integers greater than 2 – A, B and C must have a common factor.

Algebra ->  Proportions  -> Lessons -> SOLUTION: A^x + B^y = C^z, prove that when A, B and C are positive integers, and x, y and z are positive integers greater than 2 – A, B and C must have a common factor.      Log On


   



Question 756364: A^x + B^y = C^z, prove that when A, B and C are positive integers, and x, y and z are positive integers greater than 2 – A, B and C must have a common factor.
Answer by Alan3354(69443) About Me  (Show Source):
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A^x + B^y = C^z, prove that when A, B and C are positive integers, and x, y and z are positive integers greater than 2 – A, B and C must have a common factor.
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Look up Fermat's Last Theorem.