How do we express one-half of the difference of a number cubed and one?

Step-by-step explanation:

We must follow what the statement asks us, starting from the last thing and going forward from there.

A number cubed:

The difference of a number cubed and one:

And finally:

one-half of the difference of a number cubed and one, this would be one half of the expression we already found:

i can

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.