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IMO Shortlist 1969 problem 34

$(HUN 1)$ Let $a$ and $b$ be arbitrary integers. Prove that if $k$ is an integer not divisible by $3$ , then $(a + b)^{2k}+ a^{2k} +b^{2k}$ is divisible by $a^2 +ab+ b^2$

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Lista Tekst Dva stupca

Zadaci

#	Naslov	Oznake	Rj.
1358	IMO Shortlist 1969 problem 28	1969 shortlist tb	1
1373	IMO Shortlist 1969 problem 43	1969 shortlist tb	1
1378	IMO Shortlist 1969 problem 48	1969 shortlist tb	0
1384	IMO Shortlist 1969 problem 54	1969 shortlist tb	1
1392	IMO Shortlist 1969 problem 62	1969 shortlist tb	0
1393	IMO Shortlist 1969 problem 63	1969 shortlist tb	0

Školjka

IMO Shortlist 1969 problem 34

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