Este din tema..va rog mult sa ma ajutați este urgent ..Dacă z1,z2 apartine C,atunci |z1+z2|^2+|z1-z2|^2=2 (|z1|^2+|z2|^2)...numere complexe
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z2=c+di
|z1+z2|^2+|z1-z2|^2=|(a+c)+(b+d)i|^2+|(a-c)+(b-d)i|^2=(a+c)^2+(b+d)^2+(a-c)^2+(b-d)^2=a^2+c^2+2ac+b^2+d^2+2bd+a^2+c^2-2ac+b^2+d^2-2bd=2(a^2+b^2+c^2+d^2)=2((a^2+b^2)+(c^2+d^2))=2(|z1|^2+|z2|^2).