Simplifying a polynomial expression [closed]

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

pfeifhns
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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

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

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

rburing

10929 ●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

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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

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

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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