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A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let z denote the length of the side of the square being cut out. Let x denote the length of the base. Let y denote the width of the base. Write an expression for the volume V.

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