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Aratati ca M=2011+2×(1+2+3+..+2010) este patrat perfect

Răspuns :

M=2011+2×(1+2+3+..+2010)
M = 2011 + 2 × 2010 × 2011 : 2
M = 2011 + 2010 × 2011
M = 2011 × (1+2010)
M = 2011 × 2011
M = 2011^2 p.p