SOLUTION: Ms. Luciano's Algebra I class is describing the volume of geometric figures in terms of variables. She draws a rectangular prism that has a length of (x+2) meters, a width of (x-2)

Question 434125: Ms. Luciano's Algebra I class is describing the volume of geometric figures in terms of variables. She draws a rectangular prism that has a length of (x+2) meters, a width of (x-2) meters, and a height of (x+1)meters. Which of the following is an expression for the volume, in cubic meters, of the rectangular prism?
a)3x-4
b)3x+1
c)x^3-4
d)x^3+2X^2-2x-4
e)x^3+x^2-4x-4
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The volume of the prism is the length x width x height
So the volume is:
(x+2)(x-2)(x+1)
The first 2 terms can be expressed as the difference of two squares, so we have:

Multiply using FOIL:

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