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Aratati ca daca a\2=b\3=c\5, atunci (a+b-c)^2013=0

Răspuns :

a/2=b/3=c/5
(a+b)/(2+3)=c/5
(a+b)/5=c/5
a+b=c
a+b-c=0
(a+b-c)²⁰¹³=0
0²⁰¹³=0