a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x.

b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c

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- Jul 31st 2008, 12:31 AMxwrathbringerxInequalities
a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x.

b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c - Jul 31st 2008, 04:56 AMNonCommAlg