Cho a, b, c > 0. Chứng minh rằng: \(\frac{1}{{{a^2} + bc}} + \frac{1}{{{b^2} + ac}} + \frac{1}{{{c^2} + ab}} \le \frac{{2{\rm{a}}bc}}\)

Cho a, b, c > 0. Chứng minh rằng:

\(\frac{1}{{{a^2} + bc}} + \frac{1}{{{b^2} + ac}} + \frac{1}{{{c^2} + ab}} \le \frac{{2{\rm{a}}bc}}\)