Question: could you please help me to slove these two question thanks 1. If a > 0, prove that a + - 2 2. When does

could you please help me to slove these two question thanks

1. If a > 0, prove that a + - 2 2. When does equality hold ? If x, y, z > 0, prove that aty + ytz z + x + > 6. Z y When does equality hold? 2. If a, b, c are three real numbers, show that a3 + 63 + 3 - 3abc = (a+ b+ c)(a2 + 62+ c2 -ab-bc- ca) and a2 + 62 + c2 > abt bc + ca. If x, y, z > 0, show that tytz 2 3xyz 2 1+1+ 3 3 y Z

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