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OmuBacovianid

Răspuns:

Explicație pas cu pas:

[tex]N=1040^{2015}=1040^{2014}\cdot 1040=(1040^{1007})^2\cdot (1024+16)=\\=(1040^{1007})^2\cdot 1024+(1040^{1007})^2\cdot 16=\\=(1040^{1007})^2\cdot 32^2+(1040^{1007})^2\cdot 4^2=\\=(1040^{1007}\cdot 32)^2+(1040^{1007}\cdot 4)^2~~Q.E.D.[/tex]

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