The volume of the cube of side length x - 2y is [tex]v = x^3 - 6x^2y + 12xy^2 - 8y^3[/tex]
The length of the cube is given as:
s = x - 2y
The volume is given as:
[tex]v = s^3[/tex]
So, we have:
[tex]v = (x -2y)^3[/tex]
Evaluate the product
[tex]v = x^3 - 6x^2y + 12xy^2 - 8y^3[/tex]
Hence, the volume of the cube of side length x - 2y is [tex]v = x^3 - 6x^2y + 12xy^2 - 8y^3[/tex]
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