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Answer:

(1/2)(x³ - 3)

Step-by-step explanation:

That would be   (1/2)(x³ - 3).

The expression ' one-half difference of a number cubed and one' is written as [tex]\frac{1}{2} (x^3 - 1)[/tex].

Let the number be [tex]x[/tex].

The cube of the number is [tex]x^3[/tex].

Difference of the cube of the number with [tex]1[/tex] is [tex]x^3 - 1[/tex].

Now, one-half difference of a number cubed and one is represent as,

[tex]\frac{1}{2} (x^3 - 1)[/tex].

So, the expression ' one-half difference of a number cubed and one' is written as [tex]\frac{1}{2} (x^3 - 1)[/tex].

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