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












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












$begingroup$


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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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










0






active

oldest

votes












Your Answer








StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3097444%2fcan-the-expression-alpha2%25ce%25ba-1-beta2%25ce%25ba-1-gamma2%25ce%25ba-1-be-factorized%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3097444%2fcan-the-expression-alpha2%25ce%25ba-1-beta2%25ce%25ba-1-gamma2%25ce%25ba-1-be-factorized%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Can a sorcerer learn a 5th-level spell early by creating spell slots using the Font of Magic feature?

ts Property 'filter' does not exist on type '{}'

mat-slide-toggle shouldn't change it's state when I click cancel in confirmation window