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某些高次多项式的因式

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青青子衿 Posted at 2019-4-19 19:27:41 |Read mode
Last edited by 青青子衿 at 2021-12-4 12:42:00
  1. ((x^16 + 1) (x^64 - x^48 + x^32 - x^16 + 1) (x^320 - x^240 + x^160 - x^80 + 1)
  2. (x^1600 - x^1200 + x^800 - x^400 + 1) (x^8000 - x^6000 +x^4000 - x^2000 + 1)) // Expand
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 Author| 青青子衿 Posted at 2021-12-4 12:40:52
  1. ((1+x+x^2) (1-x+x^3-x^4+x^6-x^7+x^9-x^10+x^11-x^13+x^14-x^16+x^17-x^19+x^20)
  2. (1-x^22+x^33-x^55+x^66-x^88+x^99-x^121+x^132-x^154+x^165-x^187+x^198-x^220+x^231
  3. -x^253+x^264-x^286+x^297-x^319+x^330-x^352+x^363-x^385+x^396-x^418+x^429-x^451
  4. +x^462-x^484+x^495-x^517+x^528-x^550+x^561-x^583+x^594-x^616+x^627-x^649+x^660
  5. -x^682+x^693-x^715+x^726-x^748+x^759-x^781+x^792-x^814+x^825-x^847+x^858-x^880
  6. +x^891-x^913+x^924-x^946+x^957-x^979+x^990-x^1012+x^1023-x^1045+x^1056-x^1078
  7. +x^1089))// Expand
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