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1+2+3+....+1000+501×1001-arătați ca estje patrat perfect ​

Răspuns :

1+2+3+....+1000+501*1001=

1000*1001/2+501*1001=

500*1001+501*1001=

1001(500+501)=1001*1001=1001^2 pătrat perfect