Simplifying a polynomial expression [closed]

asked 2023-11-05 16:36:08 +0100

pfeifhns
21 ●1 ●5

Hello, I have an expression like μ^8+4μ^6ν^2+6μ^4ν^4+4μ^2ν^6+ν^8 This is the same as ( μ^2+ν^2 )^4 Is there a method in SageMath to simplify the first expression so that I get the second expression? Thanks for any reply

edit retag flag offensive reopen merge delete

Closed for the following reason the question is answered, right answer was accepted by pfeifhns
close date 2023-11-05 17:17:55.485854

add a comment

1 Answer

Sort by » oldest newest most voted

answered 2023-11-05 16:53:27 +0100

rburing

10919 ●4 ●80 ●218 https://www.rburing.nl/

Yes, this is just a factorization:

sage: var('μ,ν')
sage: (μ^8+4*μ^6*ν^2+6*μ^4*ν^4+4*μ^2*ν^6+ν^8).factor()
(μ^2 + ν^2)^4

edit flag offensive delete link

Comments

That's it! Thousand thanks!!!!!

pfeifhns ( 2023-11-05 17:17:23 +0100 )edit

@pfeifhns: you can accept the answer (click the check mark at the top left of the answer) and upvote it (click the up-arrow at the top left of the answer).

slelievre ( 2023-11-05 17:59:42 +0100 )edit

add a comment

Question Tools

Stats

Asked: 2023-11-05 16:36:08 +0100

Seen: 127 times

Last updated: Nov 05 '23

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.

Simplifying a polynomial expression [closed] edit

Closed for the following reason the question is answered, right answer was accepted by pfeifhns close date 2023-11-05 17:17:55.485854