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nikitatimokhin
@nikitatimokhin
August 2022
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spasibo3pajbrh
Т.к ⅓•(4-1)=⅓•3=1, то
⅓(4-1)(4+1)(4²+1)(4⁴+1)(4^8+1)-⅓•4^16=
⅓(4²-1)(4²+1)(4⁴+1)(4^8+1)-⅓•4^16=
=⅓(4⁴-1)(4⁴+1)(4^8+1)-⅓•4^16=
=⅓(4^8-1)(4^8+1)-⅓•4^16=
=⅓•(4^16-1)-⅓•4^16=- ⅓
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Answers & Comments
⅓(4-1)(4+1)(4²+1)(4⁴+1)(4^8+1)-⅓•4^16=
⅓(4²-1)(4²+1)(4⁴+1)(4^8+1)-⅓•4^16=
=⅓(4⁴-1)(4⁴+1)(4^8+1)-⅓•4^16=
=⅓(4^8-1)(4^8+1)-⅓•4^16=
=⅓•(4^16-1)-⅓•4^16=- ⅓