An algebra problem by Anish Roy

Algebra Level 3

True or False?

If aa, bb, and cc are positive real numbers such that aa+1+bb+1+cc+1=1 \dfrac a{a+1} + \dfrac b{b+1} + \dfrac c{c+1} = 1, then the maximum value of abcabc is 18 \dfrac18.

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