👤

Aratati ca 100^{2013} se poate scrie ca o suma de doua patrate perfecte. Ajutor

Răspuns :

100^2013=100*100^2012=(64+36)*(100^1006)^2=64*(100^1006)^2 + 36*(100^1006)^2=8^2*(100^1006)^2 + 6^2*(100^1006)^2=
(8*100^1006)^2 + (6*100^1006)^2