Can the expression $alpha^{2κ-1}+beta^{2κ-1}+gamma^{2κ-1};$ be factorized












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enter image description hereenter image description here
Is there an equation for the first picture, which fatorizes it in a similar fashion as the second pictures equation is factorized
If so can you please tell me which equation it is and where I could find similar ones
All the letters above are integers and ν in the second picture Is odd
Thanking you in advance
Kevin










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  • 1




    $begingroup$
    No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
    $endgroup$
    – Dietrich Burde
    Feb 2 at 16:58












  • $begingroup$
    thank you for the answer, i will keep it in mind
    $endgroup$
    – kenith
    Feb 3 at 12:27
















0












$begingroup$


enter image description hereenter image description here
Is there an equation for the first picture, which fatorizes it in a similar fashion as the second pictures equation is factorized
If so can you please tell me which equation it is and where I could find similar ones
All the letters above are integers and ν in the second picture Is odd
Thanking you in advance
Kevin










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
    $endgroup$
    – Dietrich Burde
    Feb 2 at 16:58












  • $begingroup$
    thank you for the answer, i will keep it in mind
    $endgroup$
    – kenith
    Feb 3 at 12:27














0












0








0





$begingroup$


enter image description hereenter image description here
Is there an equation for the first picture, which fatorizes it in a similar fashion as the second pictures equation is factorized
If so can you please tell me which equation it is and where I could find similar ones
All the letters above are integers and ν in the second picture Is odd
Thanking you in advance
Kevin










share|cite|improve this question











$endgroup$




enter image description hereenter image description here
Is there an equation for the first picture, which fatorizes it in a similar fashion as the second pictures equation is factorized
If so can you please tell me which equation it is and where I could find similar ones
All the letters above are integers and ν in the second picture Is odd
Thanking you in advance
Kevin







polynomials factoring






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share|cite|improve this question













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edited Feb 4 at 19:59









Ivan Neretin

9,02421635




9,02421635










asked Feb 2 at 16:01









kenithkenith

1406




1406








  • 1




    $begingroup$
    No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
    $endgroup$
    – Dietrich Burde
    Feb 2 at 16:58












  • $begingroup$
    thank you for the answer, i will keep it in mind
    $endgroup$
    – kenith
    Feb 3 at 12:27














  • 1




    $begingroup$
    No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
    $endgroup$
    – Dietrich Burde
    Feb 2 at 16:58












  • $begingroup$
    thank you for the answer, i will keep it in mind
    $endgroup$
    – kenith
    Feb 3 at 12:27








1




1




$begingroup$
No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
$endgroup$
– Dietrich Burde
Feb 2 at 16:58






$begingroup$
No, because of Fermat. But a similar expression can be factored, here is an example for exponent $3$:Here.
$endgroup$
– Dietrich Burde
Feb 2 at 16:58














$begingroup$
thank you for the answer, i will keep it in mind
$endgroup$
– kenith
Feb 3 at 12:27




$begingroup$
thank you for the answer, i will keep it in mind
$endgroup$
– kenith
Feb 3 at 12:27










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