👤

Scrieti nr. 314 la puterea 2017 ca suma a cinci patrate perfecte.
Va rog ajutor!!! DAU COROANA


Răspuns :

314^2017 = 314^2016 × 314 =

=(314^1008)^2×( 2^2+5^2+8^2+10^2+11^2)
= (314^1008×2)^2 + (314^1008×5)^2 +

(314^1008×8)^2 + (314^1008×10)^2 +

(314^1008×11)^2