👤

Aratati ca numarul 1999+1999^2+2000 este perfect.

Răspuns :

[tex] 1999+1999^2+2000=1999(1+1999)+2000=\\=1999*2000+2000=2000*(1999+1)=\\ =2000*2000=2000^2-\ \textgreater \ patrat~perfect[/tex]
1999+1999^2+2000=
=1999×(1+1999)+2000=
=1999×2000+2000=
=
2000×(1999+1)=
=2000×2000=
=2000² deci patrat perfect