# Piece of cake part 2

Algebra Level 5

$\large (2x+1)^5(1-3x)^3$ Let $$x$$ be a real lies in the interval $$\large\bigg[\frac{-1}{2};\frac{1}{3}\bigg]$$, and the maximum value of the expression above can be expressed as $$\large \alpha^{\beta}\gamma^{\delta}\epsilon^{\zeta}$$ where $$\alpha ,\gamma ,\epsilon$$ are primes. Find the sum of $$\large\alpha +\beta +\gamma +\delta +\epsilon +\zeta$$

*Part of the Straight outta AM-GM

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