If a, b, c are positive numbers, deduce that (a+ + b)(b+ c)(c + a) ≥ 8abc. Can someone list the steps to do this q please? Thanks.
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Expand the left hand side out, what do you get?
2abc + a^2 (b + c) + b^2 (a + c) c^2 (a + b) is that right? If so what do i do now?
Originally Posted by Detanon 2abc + a^2 (b + c) + b^2 (a + c) c^2 (a + b) is that right? If so what do i do now? You haven't completely expanded it yet: a^2(b+ c)= a^2b+ a^2c, etc.
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