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Aratati ca 2018+2×(2017+2016+...+3+2+1) este patrat perfect.Dau ciroana va rog repede


Răspuns :

2018+2(2017+2016+...+3+2+1) =
2018+ 2*(2017*2018)/2 =
2018+ 2017*2018 =
2018(1+2017)=
2018*2018=
2018^2 => patrat perfect