## Crazy algebraic inequality

Prove that If $a,b,c$ are positive reals and $a + b + c = 3$ then :
$(a + b^2)(b + c^2)(c + a^2) \le 13 + abc$

P.S. If I find a question interesting and hope to see it later, how do I save it? Is there such facility like "favorite" or "private watch list" in this forum? Thanks.