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Aratati ca 501 + 2( 1+2+3+.......+500) este patrat perfect

Răspuns :

501+2x500x501/2=
501+500x501=
501(1+500)=501x501=501la2


501+2x(500x501:2)

501+2x(250x501)

501+2x125250

250500+501=251001