calculus

An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

A. -2x^3+32x^2
B.-4x^3+64x^2
C.4x^3-64x^2+32x
D.-4X^3+64x^2-32x
E.4x^3-128x^2-1024x

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  1. volume = x(32-2x)^2

    which of your answers matches the above once you expand it?

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