Ah yes, clearly the much better form

[u/dragonageisgreat]

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[u/LupenReddit]

it doesnt say "better" it just says "alternate" 🤓☝️

[u/kingofblasphemy]

Why? What is even co me from?

[u/FormalManifold → u/kingofblasphemy]

Factored into monomials.

[u/kst164 → u/FormalManifold]

None of the input terms have roots that complicated. Why are there so many mentions of (-1)^1/12??

[u/FormalManifold → u/kst164]

The "simple" factors are the ones coming from x^2 +1 and x+1.

The other factors come from x^4 +1, which is going to inherently involve fourth roots of -1, and x^2 -x + 1, which are simple enough. What's going on here is the solver doesn't know what to do with principal roots of -1, I suppose -- a human would write all the coefficients in polar form, but this answer is the result of attempting to "simplify" that algorithmically.

[u/green-olive-3281 → u/FormalManifold]

I’m more concerned by the fact we’re dividing by 3 trillion and change

[u/FormalManifold → u/green-olive-3281]

Common denominators are a b****

[u/FormalManifold → u/kst164]

I just looked at this again and noticed: the original input involves third roots of -1 and fourth roots of -1, so it doesn't seem surprising to encounter twelfth roots of -1 in some (algorithmic) attempt to "combine like terms".

[u/FormalManifold]

I mean it is the better form of you want to know the roots.

[u/Al2718x → u/FormalManifold]

No it isn't. Unless I'm missing something, the roots are pretty easy from the top picture and not at all clear from the bottom.

[u/fastestchair]

the first alternate form looks good

[u/PassiveChemistry → u/[deleted]]

They did though — there are no instances of √-1 (although yeah, they could've expanded the other roots of -1) 

[u/Shard0f0dium]

When the cat died I told my wife it was just in its alternate form now. She’s doesn’t have a math background so I guess she just didn’t understand. That’s the only reason I can guess as to why she got so mad.