(A + 1)(B + 1) + B3(B + 1)(C + 1) + C3(C + 1)(A + 1) ≥ 3

4 .

(a + 1)(b + 1) + b

3

(b + 1)(c + 1) + c

3

(c + 1)(a + 1) ≥ 3