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cum demonstrez ca e cub perfect? pls. help me!!!

Cum Demonstrez Ca E Cub Perfect Pls Help Me class=

Răspuns :

A=1+2+2^2+....+2^11
2A=2+2^2+2^3+......+2^12
2A-A=2^12-1
A=2^12-1
1+A=1+2^12-1=2^12=(2^4)^3⇒ 1+A este cub perfect