1. ## Algebraic question

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.

2. Expand the left hand side out, what do you get?

3. 2abc + a^2 (b + c) + b^2 (a + c) c^2 (a + b)
is that right? If so what do i do now?

4. 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.