Question

2 la puterea 2011 minus 2 la puterea 2010 minus 2 la puterea 2009 minus 2 la puterea 2008 este patrat perfect?? explicati??

Answer 1

[tex]2^{2011}-2^{2010}-2^{2009}-2^{2008}=\\ =2^{2008}(2^3-2^2-2^1-1)= \\=2^{2008}=(2^{1004})^{2}=\ \textgreater \ nr. este. pp.[/tex]