Question 80
Given positive numbers $a, b, c$ that satisfy the condition:
$$
a^2 + b^2 + c^2 + abc = 4,
$$
prove the following inequality:
$$
(4 - a^2)(4 - b^2)(4 - c^2)a^2 b^2 c^2 \leq (2a + bc)(2b + ca)(2c + ab).
$$
$$
a^2 + b^2 + c^2 + abc = 4,
$$
prove the following inequality:
$$
(4 - a^2)(4 - b^2)(4 - c^2)a^2 b^2 c^2 \leq (2a + bc)(2b + ca)(2c + ab).
$$