cmr: voi moi a, b, c la cac so thuc duong ta co:
a(b+c)bc(b2+c2)−−−−−−−−−√+b(c+a)ca(c2+a2)−−−−−−−−−√+c(a+b)ab(a2+b2)−−−−−−−−−√≥32√a(b+c)bc(b2+c2)−−−−−−−−−√+b(c+a)ca(c2+a2)−−−−−−−−−√+c(a+b)ab(a2+b2)−−−−−−−−−√≥32√

Câu hỏi này được treo giải thưởng trị giá +1000 vỏ sò bởi oanhsu, đã hết hạn vào lúc 17-04-16 10:27 PM

bc(b2+c2) = 12.2bc(b2+c2)
≤ 2bc22+b222+c222 =(b+c)222
⇒a(b+c)bc(b2+c2)≥22a(b+c)(b+c)2=22ab+c
tương tự:b(c+a)ca(c2+a2)≥22bc+a
              c(a+b)ab(a2+b2)≥22ca+b
cộng cả 3 vế lại ta có:
P≥22(ab+c+bc+a+ca+b)≥22.32=32
    a    (b+c)bc(b2+c2)−−−−−−−−−√+b(c+a)ca(c2+a2)−−−−−−−−−√≥22√bc+a+c(a+b)ab(a2+b2)−−−−−−−−−√≥22√ca+b≥22√(ab+c+bc+a+ca+b)≥22√.32=32
    cơ mà gõ như thế mình chẳng hiểu gì cả... –  [_đéo_có_tên_] 16-04-16 11:07 PM

    Cần trả +1,000vỏ sò để xem nội dung lời giải này
    quên chưa đọc hướng dẫn của bạn...hix.. –  [_đéo_có_tên_] 16-04-16 11:09 PM
    đừng vào nha, mình bấm lộn... –  oanhsu 16-04-16 11:03 PM

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