Answer:
Yes, the cube of an integer can be a negative number.
Step-by-step explanation:
In essence, when we have a number cubed, say x, what we're doing is multiplying such number by itself three times:
[tex]x^3=(x)(x)(x)[/tex]
Now, let's say that our number is a negative number, in this case -x. Let's take a look at what would happen:
[tex](x)(x)(x)\rightarrow(-x)(-x)(-x)\rightarrow(x^2)(-x)\rightarrow-x^3[/tex]
Prooving that, indeed, the cube of an integer can be a negative number.
