Aratati ca numarul 9x ( 5 +10 +15+...+200):41 este patrat perfect
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9x 5(1+40)x40/2 :41=
9 x 5 x41x20 :41=
9x5 x20=
45x20= 900-este pp
30²=900
S=40*205:2=4100
9*4100:41=9*100=900- p.p
900=30²